非確定有限自動機基礎 · 脈衝 R07
本批已通過 Schema、去重、來源快照與獨立答案重算；仍未標記為人工審定。
本題庫已有對應的中英逐步詳解。原題的 candidate 與英文 ai_candidate 狀態保留；AI 覆核、有限計算與 Lean 形式證明分開標示。
batch-20261014-advance-20261111-r07-nondeterministic-finite-automaton-foundations · 2026-10-14 · 100 題
欄序為來源綁定的呈現補充；原始 JSONL 與數學答案不變。
欄序與來源綁定資料
1. 非確定有限自動機
transition=[from,input-or-null,to]且允許empty alphabet/final set的finite epsilon-NFA。操作=nfa-qualification；資料={"states":["s0","m0","f0","d0"],"alphabet":["a0","b0"],"start_state":"s0","final_states":["f0"],"transitions":[["s0",null,"m0"],["s0",null,"d0"],["m0","a0","m0"],["m0","b0","f0"]]}。請依 [states, alphabet, start, final_states, transitions, empty_target_rows, qualified, convention] 欄序回答。
查看答案與解釋
([s0, m0, f0, d0], [a0, b0], s0, [f0], [[s0, null, m0], [s0, null, d0], [m0, a0, m0], [m0, b0, f0]], [[s0, a0, []], [s0, b0, []], [f0, a0, []], [f0, b0, []], [d0, a0, []], [d0, b0, []]], 是, transition_relation_may_be_empty_multi_valued_and_epsilon_enabled)
Wave6第五層核對=([s0, m0, f0, d0], [a0, b0], s0, [f0], [[s0, null, m0], [s0, null, d0], [m0, a0, m0], [m0, b0, f0]], [[s0, a0, []], [s0, b0, []], [f0, a0, []], [f0, b0, []], [d0, a0, []], [d0, b0, []]], 是, transition_relation_may_be_empty_multi_valued_and_epsilon_enabled)；依完整明示資料獨立重算；null epsilon不消耗input、transition relation可empty或multi-valued且一條finite full-input final path即可證membership；empty final set合法且辨識空語言；bounded search failure不證rejection，epsilon cycle本身不接受。
本題逐步詳解（AI 二次覆核）
非確定有限自動機 · qf-mod42-nfa-qualification · candidate
2. 非確定有限自動機
transition=[from,input-or-null,to]且允許empty alphabet/final set的finite epsilon-NFA。操作=nfa-qualification；資料={"states":["s1","m1","f1","d1"],"alphabet":["a1","b1"],"start_state":"s1","final_states":["f1"],"transitions":[["s1",null,"m1"],["s1",null,"d1"],["m1","a1","m1"],["m1","b1","f1"]]}。請依 [states, alphabet, start, final_states, transitions, empty_target_rows, qualified, convention] 欄序回答。
查看答案與解釋
([s1, m1, f1, d1], [a1, b1], s1, [f1], [[s1, null, m1], [s1, null, d1], [m1, a1, m1], [m1, b1, f1]], [[s1, a1, []], [s1, b1, []], [f1, a1, []], [f1, b1, []], [d1, a1, []], [d1, b1, []]], 是, transition_relation_may_be_empty_multi_valued_and_epsilon_enabled)
Wave6第五層核對=([s1, m1, f1, d1], [a1, b1], s1, [f1], [[s1, null, m1], [s1, null, d1], [m1, a1, m1], [m1, b1, f1]], [[s1, a1, []], [s1, b1, []], [f1, a1, []], [f1, b1, []], [d1, a1, []], [d1, b1, []]], 是, transition_relation_may_be_empty_multi_valued_and_epsilon_enabled)；依完整明示資料獨立重算；null epsilon不消耗input、transition relation可empty或multi-valued且一條finite full-input final path即可證membership；empty final set合法且辨識空語言；bounded search failure不證rejection，epsilon cycle本身不接受。
本題逐步詳解（AI 二次覆核）
非確定有限自動機 · qf-mod42-nfa-qualification · candidate
3. 非確定有限自動機
transition=[from,input-or-null,to]且允許empty alphabet/final set的finite epsilon-NFA。操作=nfa-qualification；資料={"states":["s2","m2","f2","d2"],"alphabet":["a2","b2"],"start_state":"s2","final_states":["f2"],"transitions":[["s2",null,"m2"],["s2",null,"d2"],["m2","a2","m2"],["m2","b2","f2"]]}。請依 [states, alphabet, start, final_states, transitions, empty_target_rows, qualified, convention] 欄序回答。
查看答案與解釋
([s2, m2, f2, d2], [a2, b2], s2, [f2], [[s2, null, m2], [s2, null, d2], [m2, a2, m2], [m2, b2, f2]], [[s2, a2, []], [s2, b2, []], [f2, a2, []], [f2, b2, []], [d2, a2, []], [d2, b2, []]], 是, transition_relation_may_be_empty_multi_valued_and_epsilon_enabled)
Wave6第五層核對=([s2, m2, f2, d2], [a2, b2], s2, [f2], [[s2, null, m2], [s2, null, d2], [m2, a2, m2], [m2, b2, f2]], [[s2, a2, []], [s2, b2, []], [f2, a2, []], [f2, b2, []], [d2, a2, []], [d2, b2, []]], 是, transition_relation_may_be_empty_multi_valued_and_epsilon_enabled)；依完整明示資料獨立重算；null epsilon不消耗input、transition relation可empty或multi-valued且一條finite full-input final path即可證membership；empty final set合法且辨識空語言；bounded search failure不證rejection，epsilon cycle本身不接受。
本題逐步詳解（AI 二次覆核）
非確定有限自動機 · qf-mod42-nfa-qualification · candidate
4. 非確定有限自動機
transition=[from,input-or-null,to]且允許empty alphabet/final set的finite epsilon-NFA。操作=nfa-qualification；資料={"states":["s3","m3","f3","d3"],"alphabet":["a3","b3"],"start_state":"s3","final_states":["f3"],"transitions":[["s3",null,"m3"],["s3",null,"d3"],["m3","a3","m3"],["m3","b3","f3"]]}。請依 [states, alphabet, start, final_states, transitions, empty_target_rows, qualified, convention] 欄序回答。
查看答案與解釋
([s3, m3, f3, d3], [a3, b3], s3, [f3], [[s3, null, m3], [s3, null, d3], [m3, a3, m3], [m3, b3, f3]], [[s3, a3, []], [s3, b3, []], [f3, a3, []], [f3, b3, []], [d3, a3, []], [d3, b3, []]], 是, transition_relation_may_be_empty_multi_valued_and_epsilon_enabled)
Wave6第五層核對=([s3, m3, f3, d3], [a3, b3], s3, [f3], [[s3, null, m3], [s3, null, d3], [m3, a3, m3], [m3, b3, f3]], [[s3, a3, []], [s3, b3, []], [f3, a3, []], [f3, b3, []], [d3, a3, []], [d3, b3, []]], 是, transition_relation_may_be_empty_multi_valued_and_epsilon_enabled)；依完整明示資料獨立重算；null epsilon不消耗input、transition relation可empty或multi-valued且一條finite full-input final path即可證membership；empty final set合法且辨識空語言；bounded search failure不證rejection，epsilon cycle本身不接受。
本題逐步詳解（AI 二次覆核）
非確定有限自動機 · qf-mod42-nfa-qualification · candidate
5. 非確定有限自動機
transition=[from,input-or-null,to]且允許empty alphabet/final set的finite epsilon-NFA。操作=nfa-qualification；資料={"states":["s4","m4","f4","d4"],"alphabet":["a4","b4"],"start_state":"s4","final_states":["f4"],"transitions":[["s4",null,"m4"],["s4",null,"d4"],["m4","a4","m4"],["m4","b4","f4"]]}。請依 [states, alphabet, start, final_states, transitions, empty_target_rows, qualified, convention] 欄序回答。
查看答案與解釋
([s4, m4, f4, d4], [a4, b4], s4, [f4], [[s4, null, m4], [s4, null, d4], [m4, a4, m4], [m4, b4, f4]], [[s4, a4, []], [s4, b4, []], [f4, a4, []], [f4, b4, []], [d4, a4, []], [d4, b4, []]], 是, transition_relation_may_be_empty_multi_valued_and_epsilon_enabled)
Wave6第五層核對=([s4, m4, f4, d4], [a4, b4], s4, [f4], [[s4, null, m4], [s4, null, d4], [m4, a4, m4], [m4, b4, f4]], [[s4, a4, []], [s4, b4, []], [f4, a4, []], [f4, b4, []], [d4, a4, []], [d4, b4, []]], 是, transition_relation_may_be_empty_multi_valued_and_epsilon_enabled)；依完整明示資料獨立重算；null epsilon不消耗input、transition relation可empty或multi-valued且一條finite full-input final path即可證membership；empty final set合法且辨識空語言；bounded search failure不證rejection，epsilon cycle本身不接受。
本題逐步詳解（AI 二次覆核）
非確定有限自動機 · qf-mod42-nfa-qualification · candidate
6. 非確定有限自動機
transition=[from,input-or-null,to]且允許empty alphabet/final set的finite epsilon-NFA。操作=nfa-qualification；資料={"states":["s5","m5","f5","d5"],"alphabet":["a5","b5"],"start_state":"s5","final_states":["f5"],"transitions":[["s5",null,"m5"],["s5",null,"d5"],["m5","a5","m5"],["m5","b5","f5"]]}。請依 [states, alphabet, start, final_states, transitions, empty_target_rows, qualified, convention] 欄序回答。
查看答案與解釋
([s5, m5, f5, d5], [a5, b5], s5, [f5], [[s5, null, m5], [s5, null, d5], [m5, a5, m5], [m5, b5, f5]], [[s5, a5, []], [s5, b5, []], [f5, a5, []], [f5, b5, []], [d5, a5, []], [d5, b5, []]], 是, transition_relation_may_be_empty_multi_valued_and_epsilon_enabled)
Wave6第五層核對=([s5, m5, f5, d5], [a5, b5], s5, [f5], [[s5, null, m5], [s5, null, d5], [m5, a5, m5], [m5, b5, f5]], [[s5, a5, []], [s5, b5, []], [f5, a5, []], [f5, b5, []], [d5, a5, []], [d5, b5, []]], 是, transition_relation_may_be_empty_multi_valued_and_epsilon_enabled)；依完整明示資料獨立重算；null epsilon不消耗input、transition relation可empty或multi-valued且一條finite full-input final path即可證membership；empty final set合法且辨識空語言；bounded search failure不證rejection，epsilon cycle本身不接受。
本題逐步詳解（AI 二次覆核）
非確定有限自動機 · qf-mod42-nfa-qualification · candidate
7. 非確定有限自動機
transition=[from,input-or-null,to]且允許empty alphabet/final set的finite epsilon-NFA。操作=nfa-qualification；資料={"states":["s6","m6","f6","d6"],"alphabet":["a6","b6"],"start_state":"s6","final_states":["f6"],"transitions":[["s6",null,"m6"],["s6",null,"d6"],["m6","a6","m6"],["m6","b6","f6"]]}。請依 [states, alphabet, start, final_states, transitions, empty_target_rows, qualified, convention] 欄序回答。
查看答案與解釋
([s6, m6, f6, d6], [a6, b6], s6, [f6], [[s6, null, m6], [s6, null, d6], [m6, a6, m6], [m6, b6, f6]], [[s6, a6, []], [s6, b6, []], [f6, a6, []], [f6, b6, []], [d6, a6, []], [d6, b6, []]], 是, transition_relation_may_be_empty_multi_valued_and_epsilon_enabled)
Wave6第五層核對=([s6, m6, f6, d6], [a6, b6], s6, [f6], [[s6, null, m6], [s6, null, d6], [m6, a6, m6], [m6, b6, f6]], [[s6, a6, []], [s6, b6, []], [f6, a6, []], [f6, b6, []], [d6, a6, []], [d6, b6, []]], 是, transition_relation_may_be_empty_multi_valued_and_epsilon_enabled)；依完整明示資料獨立重算；null epsilon不消耗input、transition relation可empty或multi-valued且一條finite full-input final path即可證membership；empty final set合法且辨識空語言；bounded search failure不證rejection，epsilon cycle本身不接受。
本題逐步詳解（AI 二次覆核）
非確定有限自動機 · qf-mod42-nfa-qualification · candidate
8. 非確定有限自動機
transition=[from,input-or-null,to]且允許empty alphabet/final set的finite epsilon-NFA。操作=nfa-qualification；資料={"states":["s7","m7","f7","d7"],"alphabet":["a7","b7"],"start_state":"s7","final_states":["f7"],"transitions":[["s7",null,"m7"],["s7",null,"d7"],["m7","a7","m7"],["m7","b7","f7"]]}。請依 [states, alphabet, start, final_states, transitions, empty_target_rows, qualified, convention] 欄序回答。
查看答案與解釋
([s7, m7, f7, d7], [a7, b7], s7, [f7], [[s7, null, m7], [s7, null, d7], [m7, a7, m7], [m7, b7, f7]], [[s7, a7, []], [s7, b7, []], [f7, a7, []], [f7, b7, []], [d7, a7, []], [d7, b7, []]], 是, transition_relation_may_be_empty_multi_valued_and_epsilon_enabled)
Wave6第五層核對=([s7, m7, f7, d7], [a7, b7], s7, [f7], [[s7, null, m7], [s7, null, d7], [m7, a7, m7], [m7, b7, f7]], [[s7, a7, []], [s7, b7, []], [f7, a7, []], [f7, b7, []], [d7, a7, []], [d7, b7, []]], 是, transition_relation_may_be_empty_multi_valued_and_epsilon_enabled)；依完整明示資料獨立重算；null epsilon不消耗input、transition relation可empty或multi-valued且一條finite full-input final path即可證membership；empty final set合法且辨識空語言；bounded search failure不證rejection，epsilon cycle本身不接受。
本題逐步詳解（AI 二次覆核）
非確定有限自動機 · qf-mod42-nfa-qualification · candidate
9. 非確定有限自動機
transition=[from,input-or-null,to]且允許empty alphabet/final set的finite epsilon-NFA。操作=nfa-qualification；資料={"states":["s8","m8","f8","d8"],"alphabet":["a8","b8"],"start_state":"s8","final_states":["f8"],"transitions":[["s8",null,"m8"],["s8",null,"d8"],["m8","a8","m8"],["m8","b8","f8"]]}。請依 [states, alphabet, start, final_states, transitions, empty_target_rows, qualified, convention] 欄序回答。
查看答案與解釋
([s8, m8, f8, d8], [a8, b8], s8, [f8], [[s8, null, m8], [s8, null, d8], [m8, a8, m8], [m8, b8, f8]], [[s8, a8, []], [s8, b8, []], [f8, a8, []], [f8, b8, []], [d8, a8, []], [d8, b8, []]], 是, transition_relation_may_be_empty_multi_valued_and_epsilon_enabled)
Wave6第五層核對=([s8, m8, f8, d8], [a8, b8], s8, [f8], [[s8, null, m8], [s8, null, d8], [m8, a8, m8], [m8, b8, f8]], [[s8, a8, []], [s8, b8, []], [f8, a8, []], [f8, b8, []], [d8, a8, []], [d8, b8, []]], 是, transition_relation_may_be_empty_multi_valued_and_epsilon_enabled)；依完整明示資料獨立重算；null epsilon不消耗input、transition relation可empty或multi-valued且一條finite full-input final path即可證membership；empty final set合法且辨識空語言；bounded search failure不證rejection，epsilon cycle本身不接受。
本題逐步詳解（AI 二次覆核）
非確定有限自動機 · qf-mod42-nfa-qualification · candidate
10. 非確定有限自動機
transition=[from,input-or-null,to]且允許empty alphabet/final set的finite epsilon-NFA。操作=nfa-qualification；資料={"states":["s9","m9","f9","d9"],"alphabet":["a9","b9"],"start_state":"s9","final_states":["f9"],"transitions":[["s9",null,"m9"],["s9",null,"d9"],["m9","a9","m9"],["m9","b9","f9"]]}。請依 [states, alphabet, start, final_states, transitions, empty_target_rows, qualified, convention] 欄序回答。
查看答案與解釋
([s9, m9, f9, d9], [a9, b9], s9, [f9], [[s9, null, m9], [s9, null, d9], [m9, a9, m9], [m9, b9, f9]], [[s9, a9, []], [s9, b9, []], [f9, a9, []], [f9, b9, []], [d9, a9, []], [d9, b9, []]], 是, transition_relation_may_be_empty_multi_valued_and_epsilon_enabled)
Wave6第五層核對=([s9, m9, f9, d9], [a9, b9], s9, [f9], [[s9, null, m9], [s9, null, d9], [m9, a9, m9], [m9, b9, f9]], [[s9, a9, []], [s9, b9, []], [f9, a9, []], [f9, b9, []], [d9, a9, []], [d9, b9, []]], 是, transition_relation_may_be_empty_multi_valued_and_epsilon_enabled)；依完整明示資料獨立重算；null epsilon不消耗input、transition relation可empty或multi-valued且一條finite full-input final path即可證membership；empty final set合法且辨識空語言；bounded search failure不證rejection，epsilon cycle本身不接受。
本題逐步詳解（AI 二次覆核）
非確定有限自動機 · qf-mod42-nfa-qualification · candidate
11. 非確定有限自動機
transition=[from,input-or-null,to]且允許empty alphabet/final set的finite epsilon-NFA。操作=nfa-qualification；資料={"states":["s10","m10","f10","d10"],"alphabet":["a10","b10"],"start_state":"s10","final_states":["f10"],"transitions":[["s10",null,"m10"],["s10",null,"d10"],["m10","a10","m10"],["m10","b10","f10"]]}。請依 [states, alphabet, start, final_states, transitions, empty_target_rows, qualified, convention] 欄序回答。
查看答案與解釋
([s10, m10, f10, d10], [a10, b10], s10, [f10], [[s10, null, m10], [s10, null, d10], [m10, a10, m10], [m10, b10, f10]], [[s10, a10, []], [s10, b10, []], [f10, a10, []], [f10, b10, []], [d10, a10, []], [d10, b10, []]], 是, transition_relation_may_be_empty_multi_valued_and_epsilon_enabled)
Wave6第五層核對=([s10, m10, f10, d10], [a10, b10], s10, [f10], [[s10, null, m10], [s10, null, d10], [m10, a10, m10], [m10, b10, f10]], [[s10, a10, []], [s10, b10, []], [f10, a10, []], [f10, b10, []], [d10, a10, []], [d10, b10, []]], 是, transition_relation_may_be_empty_multi_valued_and_epsilon_enabled)；依完整明示資料獨立重算；null epsilon不消耗input、transition relation可empty或multi-valued且一條finite full-input final path即可證membership；empty final set合法且辨識空語言；bounded search failure不證rejection，epsilon cycle本身不接受。
本題逐步詳解（AI 二次覆核）
非確定有限自動機 · qf-mod42-nfa-qualification · candidate
12. 非確定有限自動機
transition=[from,input-or-null,to]且允許empty alphabet/final set的finite epsilon-NFA。操作=nfa-qualification；資料={"states":["s11","m11","f11","d11"],"alphabet":["a11","b11"],"start_state":"s11","final_states":["f11"],"transitions":[["s11",null,"m11"],["s11",null,"d11"],["m11","a11","m11"],["m11","b11","f11"]]}。請依 [states, alphabet, start, final_states, transitions, empty_target_rows, qualified, convention] 欄序回答。
查看答案與解釋
([s11, m11, f11, d11], [a11, b11], s11, [f11], [[s11, null, m11], [s11, null, d11], [m11, a11, m11], [m11, b11, f11]], [[s11, a11, []], [s11, b11, []], [f11, a11, []], [f11, b11, []], [d11, a11, []], [d11, b11, []]], 是, transition_relation_may_be_empty_multi_valued_and_epsilon_enabled)
Wave6第五層核對=([s11, m11, f11, d11], [a11, b11], s11, [f11], [[s11, null, m11], [s11, null, d11], [m11, a11, m11], [m11, b11, f11]], [[s11, a11, []], [s11, b11, []], [f11, a11, []], [f11, b11, []], [d11, a11, []], [d11, b11, []]], 是, transition_relation_may_be_empty_multi_valued_and_epsilon_enabled)；依完整明示資料獨立重算；null epsilon不消耗input、transition relation可empty或multi-valued且一條finite full-input final path即可證membership；empty final set合法且辨識空語言；bounded search failure不證rejection，epsilon cycle本身不接受。
本題逐步詳解（AI 二次覆核）
非確定有限自動機 · qf-mod42-nfa-qualification · candidate
13. 非確定有限自動機
transition=[from,input-or-null,to]且允許empty alphabet/final set的finite epsilon-NFA。操作=nfa-qualification；資料={"states":["s12","m12","f12","d12"],"alphabet":["a12","b12"],"start_state":"s12","final_states":["f12"],"transitions":[["s12",null,"m12"],["s12",null,"d12"],["m12","a12","m12"],["m12","b12","f12"]]}。請依 [states, alphabet, start, final_states, transitions, empty_target_rows, qualified, convention] 欄序回答。
查看答案與解釋
([s12, m12, f12, d12], [a12, b12], s12, [f12], [[s12, null, m12], [s12, null, d12], [m12, a12, m12], [m12, b12, f12]], [[s12, a12, []], [s12, b12, []], [f12, a12, []], [f12, b12, []], [d12, a12, []], [d12, b12, []]], 是, transition_relation_may_be_empty_multi_valued_and_epsilon_enabled)
Wave6第五層核對=([s12, m12, f12, d12], [a12, b12], s12, [f12], [[s12, null, m12], [s12, null, d12], [m12, a12, m12], [m12, b12, f12]], [[s12, a12, []], [s12, b12, []], [f12, a12, []], [f12, b12, []], [d12, a12, []], [d12, b12, []]], 是, transition_relation_may_be_empty_multi_valued_and_epsilon_enabled)；依完整明示資料獨立重算；null epsilon不消耗input、transition relation可empty或multi-valued且一條finite full-input final path即可證membership；empty final set合法且辨識空語言；bounded search failure不證rejection，epsilon cycle本身不接受。
本題逐步詳解（AI 二次覆核）
非確定有限自動機 · qf-mod42-nfa-qualification · candidate
14. 非確定有限自動機
transition=[from,input-or-null,to]且允許empty alphabet/final set的finite epsilon-NFA。操作=nfa-qualification；資料={"states":["s13","m13","f13","d13"],"alphabet":["a13","b13"],"start_state":"s13","final_states":["f13"],"transitions":[["s13",null,"m13"],["s13",null,"d13"],["m13","a13","m13"],["m13","b13","f13"]]}。請依 [states, alphabet, start, final_states, transitions, empty_target_rows, qualified, convention] 欄序回答。
查看答案與解釋
([s13, m13, f13, d13], [a13, b13], s13, [f13], [[s13, null, m13], [s13, null, d13], [m13, a13, m13], [m13, b13, f13]], [[s13, a13, []], [s13, b13, []], [f13, a13, []], [f13, b13, []], [d13, a13, []], [d13, b13, []]], 是, transition_relation_may_be_empty_multi_valued_and_epsilon_enabled)
Wave6第五層核對=([s13, m13, f13, d13], [a13, b13], s13, [f13], [[s13, null, m13], [s13, null, d13], [m13, a13, m13], [m13, b13, f13]], [[s13, a13, []], [s13, b13, []], [f13, a13, []], [f13, b13, []], [d13, a13, []], [d13, b13, []]], 是, transition_relation_may_be_empty_multi_valued_and_epsilon_enabled)；依完整明示資料獨立重算；null epsilon不消耗input、transition relation可empty或multi-valued且一條finite full-input final path即可證membership；empty final set合法且辨識空語言；bounded search failure不證rejection，epsilon cycle本身不接受。
本題逐步詳解（AI 二次覆核）
非確定有限自動機 · qf-mod42-nfa-qualification · candidate
15. 非確定有限自動機
transition=[from,input-or-null,to]且允許empty alphabet/final set的finite epsilon-NFA。操作=nfa-qualification；資料={"states":["s14","m14","f14","d14"],"alphabet":["a14","b14"],"start_state":"s14","final_states":["f14"],"transitions":[["s14",null,"m14"],["s14",null,"d14"],["m14","a14","m14"],["m14","b14","f14"]]}。請依 [states, alphabet, start, final_states, transitions, empty_target_rows, qualified, convention] 欄序回答。
查看答案與解釋
([s14, m14, f14, d14], [a14, b14], s14, [f14], [[s14, null, m14], [s14, null, d14], [m14, a14, m14], [m14, b14, f14]], [[s14, a14, []], [s14, b14, []], [f14, a14, []], [f14, b14, []], [d14, a14, []], [d14, b14, []]], 是, transition_relation_may_be_empty_multi_valued_and_epsilon_enabled)
Wave6第五層核對=([s14, m14, f14, d14], [a14, b14], s14, [f14], [[s14, null, m14], [s14, null, d14], [m14, a14, m14], [m14, b14, f14]], [[s14, a14, []], [s14, b14, []], [f14, a14, []], [f14, b14, []], [d14, a14, []], [d14, b14, []]], 是, transition_relation_may_be_empty_multi_valued_and_epsilon_enabled)；依完整明示資料獨立重算；null epsilon不消耗input、transition relation可empty或multi-valued且一條finite full-input final path即可證membership；empty final set合法且辨識空語言；bounded search failure不證rejection，epsilon cycle本身不接受。
本題逐步詳解（AI 二次覆核）
非確定有限自動機 · qf-mod42-nfa-qualification · candidate
16. 非確定有限自動機
transition=[from,input-or-null,to]且允許empty alphabet/final set的finite epsilon-NFA。操作=nfa-qualification；資料={"states":["s15","m15","f15","d15"],"alphabet":["a15","b15"],"start_state":"s15","final_states":["f15"],"transitions":[["s15",null,"m15"],["s15",null,"d15"],["m15","a15","m15"],["m15","b15","f15"]]}。請依 [states, alphabet, start, final_states, transitions, empty_target_rows, qualified, convention] 欄序回答。
查看答案與解釋
([s15, m15, f15, d15], [a15, b15], s15, [f15], [[s15, null, m15], [s15, null, d15], [m15, a15, m15], [m15, b15, f15]], [[s15, a15, []], [s15, b15, []], [f15, a15, []], [f15, b15, []], [d15, a15, []], [d15, b15, []]], 是, transition_relation_may_be_empty_multi_valued_and_epsilon_enabled)
Wave6第五層核對=([s15, m15, f15, d15], [a15, b15], s15, [f15], [[s15, null, m15], [s15, null, d15], [m15, a15, m15], [m15, b15, f15]], [[s15, a15, []], [s15, b15, []], [f15, a15, []], [f15, b15, []], [d15, a15, []], [d15, b15, []]], 是, transition_relation_may_be_empty_multi_valued_and_epsilon_enabled)；依完整明示資料獨立重算；null epsilon不消耗input、transition relation可empty或multi-valued且一條finite full-input final path即可證membership；empty final set合法且辨識空語言；bounded search failure不證rejection，epsilon cycle本身不接受。
本題逐步詳解（AI 二次覆核）
非確定有限自動機 · qf-mod42-nfa-qualification · candidate
17. 非確定有限自動機
transition=[from,input-or-null,to]且允許empty alphabet/final set的finite epsilon-NFA。操作=nfa-qualification；資料={"states":["s16","m16","f16","d16"],"alphabet":["a16","b16"],"start_state":"s16","final_states":["f16"],"transitions":[["s16",null,"m16"],["s16",null,"d16"],["m16","a16","m16"],["m16","b16","f16"]]}。請依 [states, alphabet, start, final_states, transitions, empty_target_rows, qualified, convention] 欄序回答。
查看答案與解釋
([s16, m16, f16, d16], [a16, b16], s16, [f16], [[s16, null, m16], [s16, null, d16], [m16, a16, m16], [m16, b16, f16]], [[s16, a16, []], [s16, b16, []], [f16, a16, []], [f16, b16, []], [d16, a16, []], [d16, b16, []]], 是, transition_relation_may_be_empty_multi_valued_and_epsilon_enabled)
Wave6第五層核對=([s16, m16, f16, d16], [a16, b16], s16, [f16], [[s16, null, m16], [s16, null, d16], [m16, a16, m16], [m16, b16, f16]], [[s16, a16, []], [s16, b16, []], [f16, a16, []], [f16, b16, []], [d16, a16, []], [d16, b16, []]], 是, transition_relation_may_be_empty_multi_valued_and_epsilon_enabled)；依完整明示資料獨立重算；null epsilon不消耗input、transition relation可empty或multi-valued且一條finite full-input final path即可證membership；empty final set合法且辨識空語言；bounded search failure不證rejection，epsilon cycle本身不接受。
本題逐步詳解（AI 二次覆核）
非確定有限自動機 · qf-mod42-nfa-qualification · candidate
18. 非確定有限自動機
transition=[from,input-or-null,to]且允許empty alphabet/final set的finite epsilon-NFA。操作=nfa-qualification；資料={"states":["s17","m17","f17","d17"],"alphabet":["a17","b17"],"start_state":"s17","final_states":["f17"],"transitions":[["s17",null,"m17"],["s17",null,"d17"],["m17","a17","m17"],["m17","b17","f17"]]}。請依 [states, alphabet, start, final_states, transitions, empty_target_rows, qualified, convention] 欄序回答。
查看答案與解釋
([s17, m17, f17, d17], [a17, b17], s17, [f17], [[s17, null, m17], [s17, null, d17], [m17, a17, m17], [m17, b17, f17]], [[s17, a17, []], [s17, b17, []], [f17, a17, []], [f17, b17, []], [d17, a17, []], [d17, b17, []]], 是, transition_relation_may_be_empty_multi_valued_and_epsilon_enabled)
Wave6第五層核對=([s17, m17, f17, d17], [a17, b17], s17, [f17], [[s17, null, m17], [s17, null, d17], [m17, a17, m17], [m17, b17, f17]], [[s17, a17, []], [s17, b17, []], [f17, a17, []], [f17, b17, []], [d17, a17, []], [d17, b17, []]], 是, transition_relation_may_be_empty_multi_valued_and_epsilon_enabled)；依完整明示資料獨立重算；null epsilon不消耗input、transition relation可empty或multi-valued且一條finite full-input final path即可證membership；empty final set合法且辨識空語言；bounded search failure不證rejection，epsilon cycle本身不接受。
本題逐步詳解（AI 二次覆核）
非確定有限自動機 · qf-mod42-nfa-qualification · candidate
19. 非確定有限自動機
transition=[from,input-or-null,to]且允許empty alphabet/final set的finite epsilon-NFA。操作=nfa-qualification；資料={"states":["s18","m18","f18","d18"],"alphabet":["a18","b18"],"start_state":"s18","final_states":["f18"],"transitions":[["s18",null,"m18"],["s18",null,"d18"],["m18","a18","m18"],["m18","b18","f18"]]}。請依 [states, alphabet, start, final_states, transitions, empty_target_rows, qualified, convention] 欄序回答。
查看答案與解釋
([s18, m18, f18, d18], [a18, b18], s18, [f18], [[s18, null, m18], [s18, null, d18], [m18, a18, m18], [m18, b18, f18]], [[s18, a18, []], [s18, b18, []], [f18, a18, []], [f18, b18, []], [d18, a18, []], [d18, b18, []]], 是, transition_relation_may_be_empty_multi_valued_and_epsilon_enabled)
Wave6第五層核對=([s18, m18, f18, d18], [a18, b18], s18, [f18], [[s18, null, m18], [s18, null, d18], [m18, a18, m18], [m18, b18, f18]], [[s18, a18, []], [s18, b18, []], [f18, a18, []], [f18, b18, []], [d18, a18, []], [d18, b18, []]], 是, transition_relation_may_be_empty_multi_valued_and_epsilon_enabled)；依完整明示資料獨立重算；null epsilon不消耗input、transition relation可empty或multi-valued且一條finite full-input final path即可證membership；empty final set合法且辨識空語言；bounded search failure不證rejection，epsilon cycle本身不接受。
本題逐步詳解（AI 二次覆核）
非確定有限自動機 · qf-mod42-nfa-qualification · candidate
20. 非確定有限自動機
transition=[from,input-or-null,to]且允許empty alphabet/final set的finite epsilon-NFA。操作=nfa-qualification；資料={"states":["s19","m19","f19","d19"],"alphabet":["a19","b19"],"start_state":"s19","final_states":["f19"],"transitions":[["s19",null,"m19"],["s19",null,"d19"],["m19","a19","m19"],["m19","b19","f19"]]}。請依 [states, alphabet, start, final_states, transitions, empty_target_rows, qualified, convention] 欄序回答。
查看答案與解釋
([s19, m19, f19, d19], [a19, b19], s19, [f19], [[s19, null, m19], [s19, null, d19], [m19, a19, m19], [m19, b19, f19]], [[s19, a19, []], [s19, b19, []], [f19, a19, []], [f19, b19, []], [d19, a19, []], [d19, b19, []]], 是, transition_relation_may_be_empty_multi_valued_and_epsilon_enabled)
Wave6第五層核對=([s19, m19, f19, d19], [a19, b19], s19, [f19], [[s19, null, m19], [s19, null, d19], [m19, a19, m19], [m19, b19, f19]], [[s19, a19, []], [s19, b19, []], [f19, a19, []], [f19, b19, []], [d19, a19, []], [d19, b19, []]], 是, transition_relation_may_be_empty_multi_valued_and_epsilon_enabled)；依完整明示資料獨立重算；null epsilon不消耗input、transition relation可empty或multi-valued且一條finite full-input final path即可證membership；empty final set合法且辨識空語言；bounded search failure不證rejection，epsilon cycle本身不接受。
本題逐步詳解（AI 二次覆核）
非確定有限自動機 · qf-mod42-nfa-qualification · candidate
21. 非確定有限自動機
transition=[from,input-or-null,to]且允許empty alphabet/final set的finite epsilon-NFA。操作=nfa-qualification；資料={"states":["s20","m20","f20","d20"],"alphabet":["a20","b20"],"start_state":"s20","final_states":["f20"],"transitions":[["s20",null,"m20"],["s20",null,"d20"],["m20","a20","m20"],["m20","b20","f20"]]}。請依 [states, alphabet, start, final_states, transitions, empty_target_rows, qualified, convention] 欄序回答。
查看答案與解釋
([s20, m20, f20, d20], [a20, b20], s20, [f20], [[s20, null, m20], [s20, null, d20], [m20, a20, m20], [m20, b20, f20]], [[s20, a20, []], [s20, b20, []], [f20, a20, []], [f20, b20, []], [d20, a20, []], [d20, b20, []]], 是, transition_relation_may_be_empty_multi_valued_and_epsilon_enabled)
Wave6第五層核對=([s20, m20, f20, d20], [a20, b20], s20, [f20], [[s20, null, m20], [s20, null, d20], [m20, a20, m20], [m20, b20, f20]], [[s20, a20, []], [s20, b20, []], [f20, a20, []], [f20, b20, []], [d20, a20, []], [d20, b20, []]], 是, transition_relation_may_be_empty_multi_valued_and_epsilon_enabled)；依完整明示資料獨立重算；null epsilon不消耗input、transition relation可empty或multi-valued且一條finite full-input final path即可證membership；empty final set合法且辨識空語言；bounded search failure不證rejection，epsilon cycle本身不接受。
本題逐步詳解（AI 二次覆核）
非確定有限自動機 · qf-mod42-nfa-qualification · candidate
22. 非確定有限自動機
transition=[from,input-or-null,to]且允許empty alphabet/final set的finite epsilon-NFA。操作=nfa-qualification；資料={"states":["s21","m21","f21","d21"],"alphabet":["a21","b21"],"start_state":"s21","final_states":["f21"],"transitions":[["s21",null,"m21"],["s21",null,"d21"],["m21","a21","m21"],["m21","b21","f21"]]}。請依 [states, alphabet, start, final_states, transitions, empty_target_rows, qualified, convention] 欄序回答。
查看答案與解釋
([s21, m21, f21, d21], [a21, b21], s21, [f21], [[s21, null, m21], [s21, null, d21], [m21, a21, m21], [m21, b21, f21]], [[s21, a21, []], [s21, b21, []], [f21, a21, []], [f21, b21, []], [d21, a21, []], [d21, b21, []]], 是, transition_relation_may_be_empty_multi_valued_and_epsilon_enabled)
Wave6第五層核對=([s21, m21, f21, d21], [a21, b21], s21, [f21], [[s21, null, m21], [s21, null, d21], [m21, a21, m21], [m21, b21, f21]], [[s21, a21, []], [s21, b21, []], [f21, a21, []], [f21, b21, []], [d21, a21, []], [d21, b21, []]], 是, transition_relation_may_be_empty_multi_valued_and_epsilon_enabled)；依完整明示資料獨立重算；null epsilon不消耗input、transition relation可empty或multi-valued且一條finite full-input final path即可證membership；empty final set合法且辨識空語言；bounded search failure不證rejection，epsilon cycle本身不接受。
本題逐步詳解（AI 二次覆核）
非確定有限自動機 · qf-mod42-nfa-qualification · candidate
23. 非確定有限自動機
transition=[from,input-or-null,to]且允許empty alphabet/final set的finite epsilon-NFA。操作=nfa-qualification；資料={"states":["s22","m22","f22","d22"],"alphabet":["a22","b22"],"start_state":"s22","final_states":["f22"],"transitions":[["s22",null,"m22"],["s22",null,"d22"],["m22","a22","m22"],["m22","b22","f22"]]}。請依 [states, alphabet, start, final_states, transitions, empty_target_rows, qualified, convention] 欄序回答。
查看答案與解釋
([s22, m22, f22, d22], [a22, b22], s22, [f22], [[s22, null, m22], [s22, null, d22], [m22, a22, m22], [m22, b22, f22]], [[s22, a22, []], [s22, b22, []], [f22, a22, []], [f22, b22, []], [d22, a22, []], [d22, b22, []]], 是, transition_relation_may_be_empty_multi_valued_and_epsilon_enabled)
Wave6第五層核對=([s22, m22, f22, d22], [a22, b22], s22, [f22], [[s22, null, m22], [s22, null, d22], [m22, a22, m22], [m22, b22, f22]], [[s22, a22, []], [s22, b22, []], [f22, a22, []], [f22, b22, []], [d22, a22, []], [d22, b22, []]], 是, transition_relation_may_be_empty_multi_valued_and_epsilon_enabled)；依完整明示資料獨立重算；null epsilon不消耗input、transition relation可empty或multi-valued且一條finite full-input final path即可證membership；empty final set合法且辨識空語言；bounded search failure不證rejection，epsilon cycle本身不接受。
本題逐步詳解（AI 二次覆核）
非確定有限自動機 · qf-mod42-nfa-qualification · candidate
24. 非確定有限自動機
transition=[from,input-or-null,to]且允許empty alphabet/final set的finite epsilon-NFA。操作=nfa-qualification；資料={"states":["s23","m23","f23","d23"],"alphabet":["a23","b23"],"start_state":"s23","final_states":["f23"],"transitions":[["s23",null,"m23"],["s23",null,"d23"],["m23","a23","m23"],["m23","b23","f23"]]}。請依 [states, alphabet, start, final_states, transitions, empty_target_rows, qualified, convention] 欄序回答。
查看答案與解釋
([s23, m23, f23, d23], [a23, b23], s23, [f23], [[s23, null, m23], [s23, null, d23], [m23, a23, m23], [m23, b23, f23]], [[s23, a23, []], [s23, b23, []], [f23, a23, []], [f23, b23, []], [d23, a23, []], [d23, b23, []]], 是, transition_relation_may_be_empty_multi_valued_and_epsilon_enabled)
Wave6第五層核對=([s23, m23, f23, d23], [a23, b23], s23, [f23], [[s23, null, m23], [s23, null, d23], [m23, a23, m23], [m23, b23, f23]], [[s23, a23, []], [s23, b23, []], [f23, a23, []], [f23, b23, []], [d23, a23, []], [d23, b23, []]], 是, transition_relation_may_be_empty_multi_valued_and_epsilon_enabled)；依完整明示資料獨立重算；null epsilon不消耗input、transition relation可empty或multi-valued且一條finite full-input final path即可證membership；empty final set合法且辨識空語言；bounded search failure不證rejection，epsilon cycle本身不接受。
本題逐步詳解（AI 二次覆核）
非確定有限自動機 · qf-mod42-nfa-qualification · candidate
25. 非確定有限自動機
transition=[from,input-or-null,to]且允許empty alphabet/final set的finite epsilon-NFA。操作=nfa-qualification；資料={"states":["s24","m24","f24","d24"],"alphabet":["a24","b24"],"start_state":"s24","final_states":["f24"],"transitions":[["s24",null,"m24"],["s24",null,"d24"],["m24","a24","m24"],["m24","b24","f24"]]}。請依 [states, alphabet, start, final_states, transitions, empty_target_rows, qualified, convention] 欄序回答。
查看答案與解釋
([s24, m24, f24, d24], [a24, b24], s24, [f24], [[s24, null, m24], [s24, null, d24], [m24, a24, m24], [m24, b24, f24]], [[s24, a24, []], [s24, b24, []], [f24, a24, []], [f24, b24, []], [d24, a24, []], [d24, b24, []]], 是, transition_relation_may_be_empty_multi_valued_and_epsilon_enabled)
Wave6第五層核對=([s24, m24, f24, d24], [a24, b24], s24, [f24], [[s24, null, m24], [s24, null, d24], [m24, a24, m24], [m24, b24, f24]], [[s24, a24, []], [s24, b24, []], [f24, a24, []], [f24, b24, []], [d24, a24, []], [d24, b24, []]], 是, transition_relation_may_be_empty_multi_valued_and_epsilon_enabled)；依完整明示資料獨立重算；null epsilon不消耗input、transition relation可empty或multi-valued且一條finite full-input final path即可證membership；empty final set合法且辨識空語言；bounded search failure不證rejection，epsilon cycle本身不接受。
本題逐步詳解（AI 二次覆核）
非確定有限自動機 · qf-mod42-nfa-qualification · candidate
26. 非確定有限自動機
transition=[from,input-or-null,to]且允許empty alphabet/final set的finite epsilon-NFA。操作=nfa-epsilon-closure；資料={"states":["s0","m0","f0","d0"],"alphabet":["a0","b0"],"start_state":"s0","final_states":["f0"],"transitions":[["s0",null,"m0"],["s0",null,"d0"],["m0","a0","m0"],["m0","b0","f0"]],"seed_states":["s0"]}。請依 [seed_states, epsilon_closure, closure_certificate, certificate] 欄序回答。
查看答案與解釋
([s0], [d0, m0, s0], 是, finite_epsilon_reachability_without_input_consumption)
Wave6第五層核對=([s0], [d0, m0, s0], 是, finite_epsilon_reachability_without_input_consumption)；依完整明示資料獨立重算；null epsilon不消耗input、transition relation可empty或multi-valued且一條finite full-input final path即可證membership；empty final set合法且辨識空語言；bounded search failure不證rejection，epsilon cycle本身不接受。
本題逐步詳解（AI 二次覆核）
非確定有限自動機 · qf-mod42-nfa-epsilon-closure · candidate
27. 非確定有限自動機
transition=[from,input-or-null,to]且允許empty alphabet/final set的finite epsilon-NFA。操作=nfa-epsilon-closure；資料={"states":["s1","m1","f1","d1"],"alphabet":["a1","b1"],"start_state":"s1","final_states":["f1"],"transitions":[["s1",null,"m1"],["s1",null,"d1"],["m1","a1","m1"],["m1","b1","f1"]],"seed_states":["s1"]}。請依 [seed_states, epsilon_closure, closure_certificate, certificate] 欄序回答。
查看答案與解釋
([s1], [d1, m1, s1], 是, finite_epsilon_reachability_without_input_consumption)
Wave6第五層核對=([s1], [d1, m1, s1], 是, finite_epsilon_reachability_without_input_consumption)；依完整明示資料獨立重算；null epsilon不消耗input、transition relation可empty或multi-valued且一條finite full-input final path即可證membership；empty final set合法且辨識空語言；bounded search failure不證rejection，epsilon cycle本身不接受。
本題逐步詳解（AI 二次覆核）
非確定有限自動機 · qf-mod42-nfa-epsilon-closure · candidate
28. 非確定有限自動機
transition=[from,input-or-null,to]且允許empty alphabet/final set的finite epsilon-NFA。操作=nfa-epsilon-closure；資料={"states":["s2","m2","f2","d2"],"alphabet":["a2","b2"],"start_state":"s2","final_states":["f2"],"transitions":[["s2",null,"m2"],["s2",null,"d2"],["m2","a2","m2"],["m2","b2","f2"]],"seed_states":["s2"]}。請依 [seed_states, epsilon_closure, closure_certificate, certificate] 欄序回答。
查看答案與解釋
([s2], [d2, m2, s2], 是, finite_epsilon_reachability_without_input_consumption)
Wave6第五層核對=([s2], [d2, m2, s2], 是, finite_epsilon_reachability_without_input_consumption)；依完整明示資料獨立重算；null epsilon不消耗input、transition relation可empty或multi-valued且一條finite full-input final path即可證membership；empty final set合法且辨識空語言；bounded search failure不證rejection，epsilon cycle本身不接受。
本題逐步詳解（AI 二次覆核）
非確定有限自動機 · qf-mod42-nfa-epsilon-closure · candidate
29. 非確定有限自動機
transition=[from,input-or-null,to]且允許empty alphabet/final set的finite epsilon-NFA。操作=nfa-epsilon-closure；資料={"states":["s3","m3","f3","d3"],"alphabet":["a3","b3"],"start_state":"s3","final_states":["f3"],"transitions":[["s3",null,"m3"],["s3",null,"d3"],["m3","a3","m3"],["m3","b3","f3"]],"seed_states":["s3"]}。請依 [seed_states, epsilon_closure, closure_certificate, certificate] 欄序回答。
查看答案與解釋
([s3], [d3, m3, s3], 是, finite_epsilon_reachability_without_input_consumption)
Wave6第五層核對=([s3], [d3, m3, s3], 是, finite_epsilon_reachability_without_input_consumption)；依完整明示資料獨立重算；null epsilon不消耗input、transition relation可empty或multi-valued且一條finite full-input final path即可證membership；empty final set合法且辨識空語言；bounded search failure不證rejection，epsilon cycle本身不接受。
本題逐步詳解（AI 二次覆核）
非確定有限自動機 · qf-mod42-nfa-epsilon-closure · candidate
30. 非確定有限自動機
transition=[from,input-or-null,to]且允許empty alphabet/final set的finite epsilon-NFA。操作=nfa-epsilon-closure；資料={"states":["s4","m4","f4","d4"],"alphabet":["a4","b4"],"start_state":"s4","final_states":["f4"],"transitions":[["s4",null,"m4"],["s4",null,"d4"],["m4","a4","m4"],["m4","b4","f4"]],"seed_states":["s4"]}。請依 [seed_states, epsilon_closure, closure_certificate, certificate] 欄序回答。
查看答案與解釋
([s4], [d4, m4, s4], 是, finite_epsilon_reachability_without_input_consumption)
Wave6第五層核對=([s4], [d4, m4, s4], 是, finite_epsilon_reachability_without_input_consumption)；依完整明示資料獨立重算；null epsilon不消耗input、transition relation可empty或multi-valued且一條finite full-input final path即可證membership；empty final set合法且辨識空語言；bounded search failure不證rejection，epsilon cycle本身不接受。
本題逐步詳解（AI 二次覆核）
非確定有限自動機 · qf-mod42-nfa-epsilon-closure · candidate
31. 非確定有限自動機
transition=[from,input-or-null,to]且允許empty alphabet/final set的finite epsilon-NFA。操作=nfa-epsilon-closure；資料={"states":["s5","m5","f5","d5"],"alphabet":["a5","b5"],"start_state":"s5","final_states":["f5"],"transitions":[["s5",null,"m5"],["s5",null,"d5"],["m5","a5","m5"],["m5","b5","f5"]],"seed_states":["s5"]}。請依 [seed_states, epsilon_closure, closure_certificate, certificate] 欄序回答。
查看答案與解釋
([s5], [d5, m5, s5], 是, finite_epsilon_reachability_without_input_consumption)
Wave6第五層核對=([s5], [d5, m5, s5], 是, finite_epsilon_reachability_without_input_consumption)；依完整明示資料獨立重算；null epsilon不消耗input、transition relation可empty或multi-valued且一條finite full-input final path即可證membership；empty final set合法且辨識空語言；bounded search failure不證rejection，epsilon cycle本身不接受。
本題逐步詳解（AI 二次覆核）
非確定有限自動機 · qf-mod42-nfa-epsilon-closure · candidate
32. 非確定有限自動機
transition=[from,input-or-null,to]且允許empty alphabet/final set的finite epsilon-NFA。操作=nfa-epsilon-closure；資料={"states":["s6","m6","f6","d6"],"alphabet":["a6","b6"],"start_state":"s6","final_states":["f6"],"transitions":[["s6",null,"m6"],["s6",null,"d6"],["m6","a6","m6"],["m6","b6","f6"]],"seed_states":["s6"]}。請依 [seed_states, epsilon_closure, closure_certificate, certificate] 欄序回答。
查看答案與解釋
([s6], [d6, m6, s6], 是, finite_epsilon_reachability_without_input_consumption)
Wave6第五層核對=([s6], [d6, m6, s6], 是, finite_epsilon_reachability_without_input_consumption)；依完整明示資料獨立重算；null epsilon不消耗input、transition relation可empty或multi-valued且一條finite full-input final path即可證membership；empty final set合法且辨識空語言；bounded search failure不證rejection，epsilon cycle本身不接受。
本題逐步詳解（AI 二次覆核）
非確定有限自動機 · qf-mod42-nfa-epsilon-closure · candidate
33. 非確定有限自動機
transition=[from,input-or-null,to]且允許empty alphabet/final set的finite epsilon-NFA。操作=nfa-epsilon-closure；資料={"states":["s7","m7","f7","d7"],"alphabet":["a7","b7"],"start_state":"s7","final_states":["f7"],"transitions":[["s7",null,"m7"],["s7",null,"d7"],["m7","a7","m7"],["m7","b7","f7"]],"seed_states":["s7"]}。請依 [seed_states, epsilon_closure, closure_certificate, certificate] 欄序回答。
查看答案與解釋
([s7], [d7, m7, s7], 是, finite_epsilon_reachability_without_input_consumption)
Wave6第五層核對=([s7], [d7, m7, s7], 是, finite_epsilon_reachability_without_input_consumption)；依完整明示資料獨立重算；null epsilon不消耗input、transition relation可empty或multi-valued且一條finite full-input final path即可證membership；empty final set合法且辨識空語言；bounded search failure不證rejection，epsilon cycle本身不接受。
本題逐步詳解（AI 二次覆核）
非確定有限自動機 · qf-mod42-nfa-epsilon-closure · candidate
34. 非確定有限自動機
transition=[from,input-or-null,to]且允許empty alphabet/final set的finite epsilon-NFA。操作=nfa-epsilon-closure；資料={"states":["s8","m8","f8","d8"],"alphabet":["a8","b8"],"start_state":"s8","final_states":["f8"],"transitions":[["s8",null,"m8"],["s8",null,"d8"],["m8","a8","m8"],["m8","b8","f8"]],"seed_states":["s8"]}。請依 [seed_states, epsilon_closure, closure_certificate, certificate] 欄序回答。
查看答案與解釋
([s8], [d8, m8, s8], 是, finite_epsilon_reachability_without_input_consumption)
Wave6第五層核對=([s8], [d8, m8, s8], 是, finite_epsilon_reachability_without_input_consumption)；依完整明示資料獨立重算；null epsilon不消耗input、transition relation可empty或multi-valued且一條finite full-input final path即可證membership；empty final set合法且辨識空語言；bounded search failure不證rejection，epsilon cycle本身不接受。
本題逐步詳解（AI 二次覆核）
非確定有限自動機 · qf-mod42-nfa-epsilon-closure · candidate
35. 非確定有限自動機
transition=[from,input-or-null,to]且允許empty alphabet/final set的finite epsilon-NFA。操作=nfa-epsilon-closure；資料={"states":["s9","m9","f9","d9"],"alphabet":["a9","b9"],"start_state":"s9","final_states":["f9"],"transitions":[["s9",null,"m9"],["s9",null,"d9"],["m9","a9","m9"],["m9","b9","f9"]],"seed_states":["s9"]}。請依 [seed_states, epsilon_closure, closure_certificate, certificate] 欄序回答。
查看答案與解釋
([s9], [d9, m9, s9], 是, finite_epsilon_reachability_without_input_consumption)
Wave6第五層核對=([s9], [d9, m9, s9], 是, finite_epsilon_reachability_without_input_consumption)；依完整明示資料獨立重算；null epsilon不消耗input、transition relation可empty或multi-valued且一條finite full-input final path即可證membership；empty final set合法且辨識空語言；bounded search failure不證rejection，epsilon cycle本身不接受。
本題逐步詳解（AI 二次覆核）
非確定有限自動機 · qf-mod42-nfa-epsilon-closure · candidate
36. 非確定有限自動機
transition=[from,input-or-null,to]且允許empty alphabet/final set的finite epsilon-NFA。操作=nfa-epsilon-closure；資料={"states":["s10","m10","f10","d10"],"alphabet":["a10","b10"],"start_state":"s10","final_states":["f10"],"transitions":[["s10",null,"m10"],["s10",null,"d10"],["m10","a10","m10"],["m10","b10","f10"]],"seed_states":["s10"]}。請依 [seed_states, epsilon_closure, closure_certificate, certificate] 欄序回答。
查看答案與解釋
([s10], [d10, m10, s10], 是, finite_epsilon_reachability_without_input_consumption)
Wave6第五層核對=([s10], [d10, m10, s10], 是, finite_epsilon_reachability_without_input_consumption)；依完整明示資料獨立重算；null epsilon不消耗input、transition relation可empty或multi-valued且一條finite full-input final path即可證membership；empty final set合法且辨識空語言；bounded search failure不證rejection，epsilon cycle本身不接受。
本題逐步詳解（AI 二次覆核）
非確定有限自動機 · qf-mod42-nfa-epsilon-closure · candidate
37. 非確定有限自動機
transition=[from,input-or-null,to]且允許empty alphabet/final set的finite epsilon-NFA。操作=nfa-epsilon-closure；資料={"states":["s11","m11","f11","d11"],"alphabet":["a11","b11"],"start_state":"s11","final_states":["f11"],"transitions":[["s11",null,"m11"],["s11",null,"d11"],["m11","a11","m11"],["m11","b11","f11"]],"seed_states":["s11"]}。請依 [seed_states, epsilon_closure, closure_certificate, certificate] 欄序回答。
查看答案與解釋
([s11], [d11, m11, s11], 是, finite_epsilon_reachability_without_input_consumption)
Wave6第五層核對=([s11], [d11, m11, s11], 是, finite_epsilon_reachability_without_input_consumption)；依完整明示資料獨立重算；null epsilon不消耗input、transition relation可empty或multi-valued且一條finite full-input final path即可證membership；empty final set合法且辨識空語言；bounded search failure不證rejection，epsilon cycle本身不接受。
本題逐步詳解（AI 二次覆核）
非確定有限自動機 · qf-mod42-nfa-epsilon-closure · candidate
38. 非確定有限自動機
transition=[from,input-or-null,to]且允許empty alphabet/final set的finite epsilon-NFA。操作=nfa-epsilon-closure；資料={"states":["s12","m12","f12","d12"],"alphabet":["a12","b12"],"start_state":"s12","final_states":["f12"],"transitions":[["s12",null,"m12"],["s12",null,"d12"],["m12","a12","m12"],["m12","b12","f12"]],"seed_states":["s12"]}。請依 [seed_states, epsilon_closure, closure_certificate, certificate] 欄序回答。
查看答案與解釋
([s12], [d12, m12, s12], 是, finite_epsilon_reachability_without_input_consumption)
Wave6第五層核對=([s12], [d12, m12, s12], 是, finite_epsilon_reachability_without_input_consumption)；依完整明示資料獨立重算；null epsilon不消耗input、transition relation可empty或multi-valued且一條finite full-input final path即可證membership；empty final set合法且辨識空語言；bounded search failure不證rejection，epsilon cycle本身不接受。
本題逐步詳解（AI 二次覆核）
非確定有限自動機 · qf-mod42-nfa-epsilon-closure · candidate
39. 非確定有限自動機
transition=[from,input-or-null,to]且允許empty alphabet/final set的finite epsilon-NFA。操作=nfa-epsilon-closure；資料={"states":["s13","m13","f13","d13"],"alphabet":["a13","b13"],"start_state":"s13","final_states":["f13"],"transitions":[["s13",null,"m13"],["s13",null,"d13"],["m13","a13","m13"],["m13","b13","f13"]],"seed_states":["s13"]}。請依 [seed_states, epsilon_closure, closure_certificate, certificate] 欄序回答。
查看答案與解釋
([s13], [d13, m13, s13], 是, finite_epsilon_reachability_without_input_consumption)
Wave6第五層核對=([s13], [d13, m13, s13], 是, finite_epsilon_reachability_without_input_consumption)；依完整明示資料獨立重算；null epsilon不消耗input、transition relation可empty或multi-valued且一條finite full-input final path即可證membership；empty final set合法且辨識空語言；bounded search failure不證rejection，epsilon cycle本身不接受。
本題逐步詳解（AI 二次覆核）
非確定有限自動機 · qf-mod42-nfa-epsilon-closure · candidate
40. 非確定有限自動機
transition=[from,input-or-null,to]且允許empty alphabet/final set的finite epsilon-NFA。操作=nfa-epsilon-closure；資料={"states":["s14","m14","f14","d14"],"alphabet":["a14","b14"],"start_state":"s14","final_states":["f14"],"transitions":[["s14",null,"m14"],["s14",null,"d14"],["m14","a14","m14"],["m14","b14","f14"]],"seed_states":["s14"]}。請依 [seed_states, epsilon_closure, closure_certificate, certificate] 欄序回答。
查看答案與解釋
([s14], [d14, m14, s14], 是, finite_epsilon_reachability_without_input_consumption)
Wave6第五層核對=([s14], [d14, m14, s14], 是, finite_epsilon_reachability_without_input_consumption)；依完整明示資料獨立重算；null epsilon不消耗input、transition relation可empty或multi-valued且一條finite full-input final path即可證membership；empty final set合法且辨識空語言；bounded search failure不證rejection，epsilon cycle本身不接受。
本題逐步詳解（AI 二次覆核）
非確定有限自動機 · qf-mod42-nfa-epsilon-closure · candidate
41. 非確定有限自動機
transition=[from,input-or-null,to]且允許empty alphabet/final set的finite epsilon-NFA。操作=nfa-epsilon-closure；資料={"states":["s15","m15","f15","d15"],"alphabet":["a15","b15"],"start_state":"s15","final_states":["f15"],"transitions":[["s15",null,"m15"],["s15",null,"d15"],["m15","a15","m15"],["m15","b15","f15"]],"seed_states":["s15"]}。請依 [seed_states, epsilon_closure, closure_certificate, certificate] 欄序回答。
查看答案與解釋
([s15], [d15, m15, s15], 是, finite_epsilon_reachability_without_input_consumption)
Wave6第五層核對=([s15], [d15, m15, s15], 是, finite_epsilon_reachability_without_input_consumption)；依完整明示資料獨立重算；null epsilon不消耗input、transition relation可empty或multi-valued且一條finite full-input final path即可證membership；empty final set合法且辨識空語言；bounded search failure不證rejection，epsilon cycle本身不接受。
本題逐步詳解（AI 二次覆核）
非確定有限自動機 · qf-mod42-nfa-epsilon-closure · candidate
42. 非確定有限自動機
transition=[from,input-or-null,to]且允許empty alphabet/final set的finite epsilon-NFA。操作=nfa-epsilon-closure；資料={"states":["s16","m16","f16","d16"],"alphabet":["a16","b16"],"start_state":"s16","final_states":["f16"],"transitions":[["s16",null,"m16"],["s16",null,"d16"],["m16","a16","m16"],["m16","b16","f16"]],"seed_states":["s16"]}。請依 [seed_states, epsilon_closure, closure_certificate, certificate] 欄序回答。
查看答案與解釋
([s16], [d16, m16, s16], 是, finite_epsilon_reachability_without_input_consumption)
Wave6第五層核對=([s16], [d16, m16, s16], 是, finite_epsilon_reachability_without_input_consumption)；依完整明示資料獨立重算；null epsilon不消耗input、transition relation可empty或multi-valued且一條finite full-input final path即可證membership；empty final set合法且辨識空語言；bounded search failure不證rejection，epsilon cycle本身不接受。
本題逐步詳解（AI 二次覆核）
非確定有限自動機 · qf-mod42-nfa-epsilon-closure · candidate
43. 非確定有限自動機
transition=[from,input-or-null,to]且允許empty alphabet/final set的finite epsilon-NFA。操作=nfa-epsilon-closure；資料={"states":["s17","m17","f17","d17"],"alphabet":["a17","b17"],"start_state":"s17","final_states":["f17"],"transitions":[["s17",null,"m17"],["s17",null,"d17"],["m17","a17","m17"],["m17","b17","f17"]],"seed_states":["s17"]}。請依 [seed_states, epsilon_closure, closure_certificate, certificate] 欄序回答。
查看答案與解釋
([s17], [d17, m17, s17], 是, finite_epsilon_reachability_without_input_consumption)
Wave6第五層核對=([s17], [d17, m17, s17], 是, finite_epsilon_reachability_without_input_consumption)；依完整明示資料獨立重算；null epsilon不消耗input、transition relation可empty或multi-valued且一條finite full-input final path即可證membership；empty final set合法且辨識空語言；bounded search failure不證rejection，epsilon cycle本身不接受。
本題逐步詳解（AI 二次覆核）
非確定有限自動機 · qf-mod42-nfa-epsilon-closure · candidate
44. 非確定有限自動機
transition=[from,input-or-null,to]且允許empty alphabet/final set的finite epsilon-NFA。操作=nfa-epsilon-closure；資料={"states":["s18","m18","f18","d18"],"alphabet":["a18","b18"],"start_state":"s18","final_states":["f18"],"transitions":[["s18",null,"m18"],["s18",null,"d18"],["m18","a18","m18"],["m18","b18","f18"]],"seed_states":["s18"]}。請依 [seed_states, epsilon_closure, closure_certificate, certificate] 欄序回答。
查看答案與解釋
([s18], [d18, m18, s18], 是, finite_epsilon_reachability_without_input_consumption)
Wave6第五層核對=([s18], [d18, m18, s18], 是, finite_epsilon_reachability_without_input_consumption)；依完整明示資料獨立重算；null epsilon不消耗input、transition relation可empty或multi-valued且一條finite full-input final path即可證membership；empty final set合法且辨識空語言；bounded search failure不證rejection，epsilon cycle本身不接受。
本題逐步詳解（AI 二次覆核）
非確定有限自動機 · qf-mod42-nfa-epsilon-closure · candidate
45. 非確定有限自動機
transition=[from,input-or-null,to]且允許empty alphabet/final set的finite epsilon-NFA。操作=nfa-epsilon-closure；資料={"states":["s19","m19","f19","d19"],"alphabet":["a19","b19"],"start_state":"s19","final_states":["f19"],"transitions":[["s19",null,"m19"],["s19",null,"d19"],["m19","a19","m19"],["m19","b19","f19"]],"seed_states":["s19"]}。請依 [seed_states, epsilon_closure, closure_certificate, certificate] 欄序回答。
查看答案與解釋
([s19], [d19, m19, s19], 是, finite_epsilon_reachability_without_input_consumption)
Wave6第五層核對=([s19], [d19, m19, s19], 是, finite_epsilon_reachability_without_input_consumption)；依完整明示資料獨立重算；null epsilon不消耗input、transition relation可empty或multi-valued且一條finite full-input final path即可證membership；empty final set合法且辨識空語言；bounded search failure不證rejection，epsilon cycle本身不接受。
本題逐步詳解（AI 二次覆核）
非確定有限自動機 · qf-mod42-nfa-epsilon-closure · candidate
46. 非確定有限自動機
transition=[from,input-or-null,to]且允許empty alphabet/final set的finite epsilon-NFA。操作=nfa-epsilon-closure；資料={"states":["s20","m20","f20","d20"],"alphabet":["a20","b20"],"start_state":"s20","final_states":["f20"],"transitions":[["s20",null,"m20"],["s20",null,"d20"],["m20","a20","m20"],["m20","b20","f20"]],"seed_states":["s20"]}。請依 [seed_states, epsilon_closure, closure_certificate, certificate] 欄序回答。
查看答案與解釋
([s20], [d20, m20, s20], 是, finite_epsilon_reachability_without_input_consumption)
Wave6第五層核對=([s20], [d20, m20, s20], 是, finite_epsilon_reachability_without_input_consumption)；依完整明示資料獨立重算；null epsilon不消耗input、transition relation可empty或multi-valued且一條finite full-input final path即可證membership；empty final set合法且辨識空語言；bounded search failure不證rejection，epsilon cycle本身不接受。
本題逐步詳解（AI 二次覆核）
非確定有限自動機 · qf-mod42-nfa-epsilon-closure · candidate
47. 非確定有限自動機
transition=[from,input-or-null,to]且允許empty alphabet/final set的finite epsilon-NFA。操作=nfa-epsilon-closure；資料={"states":["s21","m21","f21","d21"],"alphabet":["a21","b21"],"start_state":"s21","final_states":["f21"],"transitions":[["s21",null,"m21"],["s21",null,"d21"],["m21","a21","m21"],["m21","b21","f21"]],"seed_states":["s21"]}。請依 [seed_states, epsilon_closure, closure_certificate, certificate] 欄序回答。
查看答案與解釋
([s21], [d21, m21, s21], 是, finite_epsilon_reachability_without_input_consumption)
Wave6第五層核對=([s21], [d21, m21, s21], 是, finite_epsilon_reachability_without_input_consumption)；依完整明示資料獨立重算；null epsilon不消耗input、transition relation可empty或multi-valued且一條finite full-input final path即可證membership；empty final set合法且辨識空語言；bounded search failure不證rejection，epsilon cycle本身不接受。
本題逐步詳解（AI 二次覆核）
非確定有限自動機 · qf-mod42-nfa-epsilon-closure · candidate
48. 非確定有限自動機
transition=[from,input-or-null,to]且允許empty alphabet/final set的finite epsilon-NFA。操作=nfa-epsilon-closure；資料={"states":["s22","m22","f22","d22"],"alphabet":["a22","b22"],"start_state":"s22","final_states":["f22"],"transitions":[["s22",null,"m22"],["s22",null,"d22"],["m22","a22","m22"],["m22","b22","f22"]],"seed_states":["s22"]}。請依 [seed_states, epsilon_closure, closure_certificate, certificate] 欄序回答。
查看答案與解釋
([s22], [d22, m22, s22], 是, finite_epsilon_reachability_without_input_consumption)
Wave6第五層核對=([s22], [d22, m22, s22], 是, finite_epsilon_reachability_without_input_consumption)；依完整明示資料獨立重算；null epsilon不消耗input、transition relation可empty或multi-valued且一條finite full-input final path即可證membership；empty final set合法且辨識空語言；bounded search failure不證rejection，epsilon cycle本身不接受。
本題逐步詳解（AI 二次覆核）
非確定有限自動機 · qf-mod42-nfa-epsilon-closure · candidate
49. 非確定有限自動機
transition=[from,input-or-null,to]且允許empty alphabet/final set的finite epsilon-NFA。操作=nfa-epsilon-closure；資料={"states":["s23","m23","f23","d23"],"alphabet":["a23","b23"],"start_state":"s23","final_states":["f23"],"transitions":[["s23",null,"m23"],["s23",null,"d23"],["m23","a23","m23"],["m23","b23","f23"]],"seed_states":["s23"]}。請依 [seed_states, epsilon_closure, closure_certificate, certificate] 欄序回答。
查看答案與解釋
([s23], [d23, m23, s23], 是, finite_epsilon_reachability_without_input_consumption)
Wave6第五層核對=([s23], [d23, m23, s23], 是, finite_epsilon_reachability_without_input_consumption)；依完整明示資料獨立重算；null epsilon不消耗input、transition relation可empty或multi-valued且一條finite full-input final path即可證membership；empty final set合法且辨識空語言；bounded search failure不證rejection，epsilon cycle本身不接受。
本題逐步詳解（AI 二次覆核）
非確定有限自動機 · qf-mod42-nfa-epsilon-closure · candidate
50. 非確定有限自動機
transition=[from,input-or-null,to]且允許empty alphabet/final set的finite epsilon-NFA。操作=nfa-epsilon-closure；資料={"states":["s24","m24","f24","d24"],"alphabet":["a24","b24"],"start_state":"s24","final_states":["f24"],"transitions":[["s24",null,"m24"],["s24",null,"d24"],["m24","a24","m24"],["m24","b24","f24"]],"seed_states":["s24"]}。請依 [seed_states, epsilon_closure, closure_certificate, certificate] 欄序回答。
查看答案與解釋
([s24], [d24, m24, s24], 是, finite_epsilon_reachability_without_input_consumption)
Wave6第五層核對=([s24], [d24, m24, s24], 是, finite_epsilon_reachability_without_input_consumption)；依完整明示資料獨立重算；null epsilon不消耗input、transition relation可empty或multi-valued且一條finite full-input final path即可證membership；empty final set合法且辨識空語言；bounded search failure不證rejection，epsilon cycle本身不接受。
本題逐步詳解（AI 二次覆核）
非確定有限自動機 · qf-mod42-nfa-epsilon-closure · candidate
51. 非確定有限自動機
transition=[from,input-or-null,to]且允許empty alphabet/final set的finite epsilon-NFA。操作=nfa-accepting-path-witness；資料={"states":["s0","m0","f0","d0"],"alphabet":["a0","b0"],"start_state":"s0","final_states":["f0"],"transitions":[["s0",null,"m0"],["s0",null,"d0"],["m0","a0","m0"],["m0","b0","f0"]],"input":["b0"],"path":[["s0",0],["m0",0],["f0",1]]}。請依 [input, path, transition_indices, valid_path, accepted, certificate] 欄序回答。
valid_path與accepted分開；要讀完整input才算接受。一條成功路徑已足夠，其他dead branches不會將它否決。
查看答案與解釋
([b0], [[s0, 0], [m0, 0], [f0, 1]], [0, 3], 是, 是, one_finite_path_consuming_full_input_and_ending_final_proves_membership)
Wave6第五層核對=([b0], [[s0, 0], [m0, 0], [f0, 1]], [0, 3], 是, 是, one_finite_path_consuming_full_input_and_ending_final_proves_membership)；依完整明示資料獨立重算；null epsilon不消耗input、transition relation可empty或multi-valued且一條finite full-input final path即可證membership；empty final set合法且辨識空語言；bounded search failure不證rejection，epsilon cycle本身不接受。
本題逐步詳解（AI 二次覆核）
非確定有限自動機 · qf-mod42-nfa-accepting-path-witness · candidate
52. 非確定有限自動機
transition=[from,input-or-null,to]且允許empty alphabet/final set的finite epsilon-NFA。操作=nfa-accepting-path-witness；資料={"states":["s1","m1","f1","d1"],"alphabet":["a1","b1"],"start_state":"s1","final_states":["f1"],"transitions":[["s1",null,"m1"],["s1",null,"d1"],["m1","a1","m1"],["m1","b1","f1"]],"input":["a1","b1"],"path":[["s1",0],["m1",0],["m1",1],["f1",2]]}。請依 [input, path, transition_indices, valid_path, accepted, certificate] 欄序回答。
valid_path與accepted分開；要讀完整input才算接受。一條成功路徑已足夠，其他dead branches不會將它否決。
查看答案與解釋
([a1, b1], [[s1, 0], [m1, 0], [m1, 1], [f1, 2]], [0, 2, 3], 是, 是, one_finite_path_consuming_full_input_and_ending_final_proves_membership)
Wave6第五層核對=([a1, b1], [[s1, 0], [m1, 0], [m1, 1], [f1, 2]], [0, 2, 3], 是, 是, one_finite_path_consuming_full_input_and_ending_final_proves_membership)；依完整明示資料獨立重算；null epsilon不消耗input、transition relation可empty或multi-valued且一條finite full-input final path即可證membership；empty final set合法且辨識空語言；bounded search failure不證rejection，epsilon cycle本身不接受。
本題逐步詳解（AI 二次覆核）
非確定有限自動機 · qf-mod42-nfa-accepting-path-witness · candidate
53. 非確定有限自動機
transition=[from,input-or-null,to]且允許empty alphabet/final set的finite epsilon-NFA。操作=nfa-accepting-path-witness；資料={"states":["s2","m2","f2","d2"],"alphabet":["a2","b2"],"start_state":"s2","final_states":["f2"],"transitions":[["s2",null,"m2"],["s2",null,"d2"],["m2","a2","m2"],["m2","b2","f2"]],"input":["a2","a2","b2"],"path":[["s2",0],["m2",0],["m2",1],["m2",2],["f2",3]]}。請依 [input, path, transition_indices, valid_path, accepted, certificate] 欄序回答。
valid_path與accepted分開；要讀完整input才算接受。一條成功路徑已足夠，其他dead branches不會將它否決。
查看答案與解釋
([a2, a2, b2], [[s2, 0], [m2, 0], [m2, 1], [m2, 2], [f2, 3]], [0, 2, 2, 3], 是, 是, one_finite_path_consuming_full_input_and_ending_final_proves_membership)
Wave6第五層核對=([a2, a2, b2], [[s2, 0], [m2, 0], [m2, 1], [m2, 2], [f2, 3]], [0, 2, 2, 3], 是, 是, one_finite_path_consuming_full_input_and_ending_final_proves_membership)；依完整明示資料獨立重算；null epsilon不消耗input、transition relation可empty或multi-valued且一條finite full-input final path即可證membership；empty final set合法且辨識空語言；bounded search failure不證rejection，epsilon cycle本身不接受。
本題逐步詳解（AI 二次覆核）
非確定有限自動機 · qf-mod42-nfa-accepting-path-witness · candidate
54. 非確定有限自動機
transition=[from,input-or-null,to]且允許empty alphabet/final set的finite epsilon-NFA。操作=nfa-accepting-path-witness；資料={"states":["s3","m3","f3","d3"],"alphabet":["a3","b3"],"start_state":"s3","final_states":["f3"],"transitions":[["s3",null,"m3"],["s3",null,"d3"],["m3","a3","m3"],["m3","b3","f3"]],"input":["a3","a3","a3","b3"],"path":[["s3",0],["m3",0],["m3",1],["m3",2],["m3",3],["f3",4]]}。請依 [input, path, transition_indices, valid_path, accepted, certificate] 欄序回答。
valid_path與accepted分開；要讀完整input才算接受。一條成功路徑已足夠，其他dead branches不會將它否決。
查看答案與解釋
([a3, a3, a3, b3], [[s3, 0], [m3, 0], [m3, 1], [m3, 2], [m3, 3], [f3, 4]], [0, 2, 2, 2, 3], 是, 是, one_finite_path_consuming_full_input_and_ending_final_proves_membership)
Wave6第五層核對=([a3, a3, a3, b3], [[s3, 0], [m3, 0], [m3, 1], [m3, 2], [m3, 3], [f3, 4]], [0, 2, 2, 2, 3], 是, 是, one_finite_path_consuming_full_input_and_ending_final_proves_membership)；依完整明示資料獨立重算；null epsilon不消耗input、transition relation可empty或multi-valued且一條finite full-input final path即可證membership；empty final set合法且辨識空語言；bounded search failure不證rejection，epsilon cycle本身不接受。
本題逐步詳解（AI 二次覆核）
非確定有限自動機 · qf-mod42-nfa-accepting-path-witness · candidate
55. 非確定有限自動機
transition=[from,input-or-null,to]且允許empty alphabet/final set的finite epsilon-NFA。操作=nfa-accepting-path-witness；資料={"states":["s4","m4","f4","d4"],"alphabet":["a4","b4"],"start_state":"s4","final_states":["f4"],"transitions":[["s4",null,"m4"],["s4",null,"d4"],["m4","a4","m4"],["m4","b4","f4"]],"input":["b4"],"path":[["s4",0],["m4",0],["f4",1]]}。請依 [input, path, transition_indices, valid_path, accepted, certificate] 欄序回答。
valid_path與accepted分開；要讀完整input才算接受。一條成功路徑已足夠，其他dead branches不會將它否決。
查看答案與解釋
([b4], [[s4, 0], [m4, 0], [f4, 1]], [0, 3], 是, 是, one_finite_path_consuming_full_input_and_ending_final_proves_membership)
Wave6第五層核對=([b4], [[s4, 0], [m4, 0], [f4, 1]], [0, 3], 是, 是, one_finite_path_consuming_full_input_and_ending_final_proves_membership)；依完整明示資料獨立重算；null epsilon不消耗input、transition relation可empty或multi-valued且一條finite full-input final path即可證membership；empty final set合法且辨識空語言；bounded search failure不證rejection，epsilon cycle本身不接受。
本題逐步詳解（AI 二次覆核）
非確定有限自動機 · qf-mod42-nfa-accepting-path-witness · candidate
56. 非確定有限自動機
transition=[from,input-or-null,to]且允許empty alphabet/final set的finite epsilon-NFA。操作=nfa-accepting-path-witness；資料={"states":["s5","m5","f5","d5"],"alphabet":["a5","b5"],"start_state":"s5","final_states":["f5"],"transitions":[["s5",null,"m5"],["s5",null,"d5"],["m5","a5","m5"],["m5","b5","f5"]],"input":["a5","b5"],"path":[["s5",0],["m5",0],["m5",1],["f5",2]]}。請依 [input, path, transition_indices, valid_path, accepted, certificate] 欄序回答。
valid_path與accepted分開；要讀完整input才算接受。一條成功路徑已足夠，其他dead branches不會將它否決。
查看答案與解釋
([a5, b5], [[s5, 0], [m5, 0], [m5, 1], [f5, 2]], [0, 2, 3], 是, 是, one_finite_path_consuming_full_input_and_ending_final_proves_membership)
Wave6第五層核對=([a5, b5], [[s5, 0], [m5, 0], [m5, 1], [f5, 2]], [0, 2, 3], 是, 是, one_finite_path_consuming_full_input_and_ending_final_proves_membership)；依完整明示資料獨立重算；null epsilon不消耗input、transition relation可empty或multi-valued且一條finite full-input final path即可證membership；empty final set合法且辨識空語言；bounded search failure不證rejection，epsilon cycle本身不接受。
本題逐步詳解（AI 二次覆核）
非確定有限自動機 · qf-mod42-nfa-accepting-path-witness · candidate
57. 非確定有限自動機
transition=[from,input-or-null,to]且允許empty alphabet/final set的finite epsilon-NFA。操作=nfa-accepting-path-witness；資料={"states":["s6","m6","f6","d6"],"alphabet":["a6","b6"],"start_state":"s6","final_states":["f6"],"transitions":[["s6",null,"m6"],["s6",null,"d6"],["m6","a6","m6"],["m6","b6","f6"]],"input":["a6","a6","b6"],"path":[["s6",0],["m6",0],["m6",1],["m6",2],["f6",3]]}。請依 [input, path, transition_indices, valid_path, accepted, certificate] 欄序回答。
valid_path與accepted分開；要讀完整input才算接受。一條成功路徑已足夠，其他dead branches不會將它否決。
查看答案與解釋
([a6, a6, b6], [[s6, 0], [m6, 0], [m6, 1], [m6, 2], [f6, 3]], [0, 2, 2, 3], 是, 是, one_finite_path_consuming_full_input_and_ending_final_proves_membership)
Wave6第五層核對=([a6, a6, b6], [[s6, 0], [m6, 0], [m6, 1], [m6, 2], [f6, 3]], [0, 2, 2, 3], 是, 是, one_finite_path_consuming_full_input_and_ending_final_proves_membership)；依完整明示資料獨立重算；null epsilon不消耗input、transition relation可empty或multi-valued且一條finite full-input final path即可證membership；empty final set合法且辨識空語言；bounded search failure不證rejection，epsilon cycle本身不接受。
本題逐步詳解（AI 二次覆核）
非確定有限自動機 · qf-mod42-nfa-accepting-path-witness · candidate
58. 非確定有限自動機
transition=[from,input-or-null,to]且允許empty alphabet/final set的finite epsilon-NFA。操作=nfa-accepting-path-witness；資料={"states":["s7","m7","f7","d7"],"alphabet":["a7","b7"],"start_state":"s7","final_states":["f7"],"transitions":[["s7",null,"m7"],["s7",null,"d7"],["m7","a7","m7"],["m7","b7","f7"]],"input":["a7","a7","a7","b7"],"path":[["s7",0],["m7",0],["m7",1],["m7",2],["m7",3],["f7",4]]}。請依 [input, path, transition_indices, valid_path, accepted, certificate] 欄序回答。
valid_path與accepted分開；要讀完整input才算接受。一條成功路徑已足夠，其他dead branches不會將它否決。
查看答案與解釋
([a7, a7, a7, b7], [[s7, 0], [m7, 0], [m7, 1], [m7, 2], [m7, 3], [f7, 4]], [0, 2, 2, 2, 3], 是, 是, one_finite_path_consuming_full_input_and_ending_final_proves_membership)
Wave6第五層核對=([a7, a7, a7, b7], [[s7, 0], [m7, 0], [m7, 1], [m7, 2], [m7, 3], [f7, 4]], [0, 2, 2, 2, 3], 是, 是, one_finite_path_consuming_full_input_and_ending_final_proves_membership)；依完整明示資料獨立重算；null epsilon不消耗input、transition relation可empty或multi-valued且一條finite full-input final path即可證membership；empty final set合法且辨識空語言；bounded search failure不證rejection，epsilon cycle本身不接受。
本題逐步詳解（AI 二次覆核）
非確定有限自動機 · qf-mod42-nfa-accepting-path-witness · candidate
59. 非確定有限自動機
transition=[from,input-or-null,to]且允許empty alphabet/final set的finite epsilon-NFA。操作=nfa-accepting-path-witness；資料={"states":["s8","m8","f8","d8"],"alphabet":["a8","b8"],"start_state":"s8","final_states":["f8"],"transitions":[["s8",null,"m8"],["s8",null,"d8"],["m8","a8","m8"],["m8","b8","f8"]],"input":["b8"],"path":[["s8",0],["m8",0],["f8",1]]}。請依 [input, path, transition_indices, valid_path, accepted, certificate] 欄序回答。
valid_path與accepted分開；要讀完整input才算接受。一條成功路徑已足夠，其他dead branches不會將它否決。
查看答案與解釋
([b8], [[s8, 0], [m8, 0], [f8, 1]], [0, 3], 是, 是, one_finite_path_consuming_full_input_and_ending_final_proves_membership)
Wave6第五層核對=([b8], [[s8, 0], [m8, 0], [f8, 1]], [0, 3], 是, 是, one_finite_path_consuming_full_input_and_ending_final_proves_membership)；依完整明示資料獨立重算；null epsilon不消耗input、transition relation可empty或multi-valued且一條finite full-input final path即可證membership；empty final set合法且辨識空語言；bounded search failure不證rejection，epsilon cycle本身不接受。
本題逐步詳解（AI 二次覆核）
非確定有限自動機 · qf-mod42-nfa-accepting-path-witness · candidate
60. 非確定有限自動機
transition=[from,input-or-null,to]且允許empty alphabet/final set的finite epsilon-NFA。操作=nfa-accepting-path-witness；資料={"states":["s9","m9","f9","d9"],"alphabet":["a9","b9"],"start_state":"s9","final_states":["f9"],"transitions":[["s9",null,"m9"],["s9",null,"d9"],["m9","a9","m9"],["m9","b9","f9"]],"input":["a9","b9"],"path":[["s9",0],["m9",0],["m9",1],["f9",2]]}。請依 [input, path, transition_indices, valid_path, accepted, certificate] 欄序回答。
valid_path與accepted分開；要讀完整input才算接受。一條成功路徑已足夠，其他dead branches不會將它否決。
查看答案與解釋
([a9, b9], [[s9, 0], [m9, 0], [m9, 1], [f9, 2]], [0, 2, 3], 是, 是, one_finite_path_consuming_full_input_and_ending_final_proves_membership)
Wave6第五層核對=([a9, b9], [[s9, 0], [m9, 0], [m9, 1], [f9, 2]], [0, 2, 3], 是, 是, one_finite_path_consuming_full_input_and_ending_final_proves_membership)；依完整明示資料獨立重算；null epsilon不消耗input、transition relation可empty或multi-valued且一條finite full-input final path即可證membership；empty final set合法且辨識空語言；bounded search failure不證rejection，epsilon cycle本身不接受。
本題逐步詳解（AI 二次覆核）
非確定有限自動機 · qf-mod42-nfa-accepting-path-witness · candidate
61. 非確定有限自動機
transition=[from,input-or-null,to]且允許empty alphabet/final set的finite epsilon-NFA。操作=nfa-accepting-path-witness；資料={"states":["s10","m10","f10","d10"],"alphabet":["a10","b10"],"start_state":"s10","final_states":["f10"],"transitions":[["s10",null,"m10"],["s10",null,"d10"],["m10","a10","m10"],["m10","b10","f10"]],"input":["a10","a10","b10"],"path":[["s10",0],["m10",0],["m10",1],["m10",2],["f10",3]]}。請依 [input, path, transition_indices, valid_path, accepted, certificate] 欄序回答。
valid_path與accepted分開；要讀完整input才算接受。一條成功路徑已足夠，其他dead branches不會將它否決。
查看答案與解釋
([a10, a10, b10], [[s10, 0], [m10, 0], [m10, 1], [m10, 2], [f10, 3]], [0, 2, 2, 3], 是, 是, one_finite_path_consuming_full_input_and_ending_final_proves_membership)
Wave6第五層核對=([a10, a10, b10], [[s10, 0], [m10, 0], [m10, 1], [m10, 2], [f10, 3]], [0, 2, 2, 3], 是, 是, one_finite_path_consuming_full_input_and_ending_final_proves_membership)；依完整明示資料獨立重算；null epsilon不消耗input、transition relation可empty或multi-valued且一條finite full-input final path即可證membership；empty final set合法且辨識空語言；bounded search failure不證rejection，epsilon cycle本身不接受。
本題逐步詳解（AI 二次覆核）
非確定有限自動機 · qf-mod42-nfa-accepting-path-witness · candidate
62. 非確定有限自動機
transition=[from,input-or-null,to]且允許empty alphabet/final set的finite epsilon-NFA。操作=nfa-accepting-path-witness；資料={"states":["s11","m11","f11","d11"],"alphabet":["a11","b11"],"start_state":"s11","final_states":["f11"],"transitions":[["s11",null,"m11"],["s11",null,"d11"],["m11","a11","m11"],["m11","b11","f11"]],"input":["a11","a11","a11","b11"],"path":[["s11",0],["m11",0],["m11",1],["m11",2],["m11",3],["f11",4]]}。請依 [input, path, transition_indices, valid_path, accepted, certificate] 欄序回答。
valid_path與accepted分開；要讀完整input才算接受。一條成功路徑已足夠，其他dead branches不會將它否決。
查看答案與解釋
([a11, a11, a11, b11], [[s11, 0], [m11, 0], [m11, 1], [m11, 2], [m11, 3], [f11, 4]], [0, 2, 2, 2, 3], 是, 是, one_finite_path_consuming_full_input_and_ending_final_proves_membership)
Wave6第五層核對=([a11, a11, a11, b11], [[s11, 0], [m11, 0], [m11, 1], [m11, 2], [m11, 3], [f11, 4]], [0, 2, 2, 2, 3], 是, 是, one_finite_path_consuming_full_input_and_ending_final_proves_membership)；依完整明示資料獨立重算；null epsilon不消耗input、transition relation可empty或multi-valued且一條finite full-input final path即可證membership；empty final set合法且辨識空語言；bounded search failure不證rejection，epsilon cycle本身不接受。
本題逐步詳解（AI 二次覆核）
非確定有限自動機 · qf-mod42-nfa-accepting-path-witness · candidate
63. 非確定有限自動機
transition=[from,input-or-null,to]且允許empty alphabet/final set的finite epsilon-NFA。操作=nfa-accepting-path-witness；資料={"states":["s12","m12","f12","d12"],"alphabet":["a12","b12"],"start_state":"s12","final_states":["f12"],"transitions":[["s12",null,"m12"],["s12",null,"d12"],["m12","a12","m12"],["m12","b12","f12"]],"input":["b12"],"path":[["s12",0],["m12",0],["f12",1]]}。請依 [input, path, transition_indices, valid_path, accepted, certificate] 欄序回答。
valid_path與accepted分開；要讀完整input才算接受。一條成功路徑已足夠，其他dead branches不會將它否決。
查看答案與解釋
([b12], [[s12, 0], [m12, 0], [f12, 1]], [0, 3], 是, 是, one_finite_path_consuming_full_input_and_ending_final_proves_membership)
Wave6第五層核對=([b12], [[s12, 0], [m12, 0], [f12, 1]], [0, 3], 是, 是, one_finite_path_consuming_full_input_and_ending_final_proves_membership)；依完整明示資料獨立重算；null epsilon不消耗input、transition relation可empty或multi-valued且一條finite full-input final path即可證membership；empty final set合法且辨識空語言；bounded search failure不證rejection，epsilon cycle本身不接受。
本題逐步詳解（AI 二次覆核）
非確定有限自動機 · qf-mod42-nfa-accepting-path-witness · candidate
64. 非確定有限自動機
transition=[from,input-or-null,to]且允許empty alphabet/final set的finite epsilon-NFA。操作=nfa-accepting-path-witness；資料={"states":["s13","m13","f13","d13"],"alphabet":["a13","b13"],"start_state":"s13","final_states":["f13"],"transitions":[["s13",null,"m13"],["s13",null,"d13"],["m13","a13","m13"],["m13","b13","f13"]],"input":["a13","b13"],"path":[["s13",0],["m13",0],["m13",1],["f13",2]]}。請依 [input, path, transition_indices, valid_path, accepted, certificate] 欄序回答。
valid_path與accepted分開；要讀完整input才算接受。一條成功路徑已足夠，其他dead branches不會將它否決。
查看答案與解釋
([a13, b13], [[s13, 0], [m13, 0], [m13, 1], [f13, 2]], [0, 2, 3], 是, 是, one_finite_path_consuming_full_input_and_ending_final_proves_membership)
Wave6第五層核對=([a13, b13], [[s13, 0], [m13, 0], [m13, 1], [f13, 2]], [0, 2, 3], 是, 是, one_finite_path_consuming_full_input_and_ending_final_proves_membership)；依完整明示資料獨立重算；null epsilon不消耗input、transition relation可empty或multi-valued且一條finite full-input final path即可證membership；empty final set合法且辨識空語言；bounded search failure不證rejection，epsilon cycle本身不接受。
本題逐步詳解（AI 二次覆核）
非確定有限自動機 · qf-mod42-nfa-accepting-path-witness · candidate
65. 非確定有限自動機
transition=[from,input-or-null,to]且允許empty alphabet/final set的finite epsilon-NFA。操作=nfa-accepting-path-witness；資料={"states":["s14","m14","f14","d14"],"alphabet":["a14","b14"],"start_state":"s14","final_states":["f14"],"transitions":[["s14",null,"m14"],["s14",null,"d14"],["m14","a14","m14"],["m14","b14","f14"]],"input":["a14","a14","b14"],"path":[["s14",0],["m14",0],["m14",1],["m14",2],["f14",3]]}。請依 [input, path, transition_indices, valid_path, accepted, certificate] 欄序回答。
valid_path與accepted分開；要讀完整input才算接受。一條成功路徑已足夠，其他dead branches不會將它否決。
查看答案與解釋
([a14, a14, b14], [[s14, 0], [m14, 0], [m14, 1], [m14, 2], [f14, 3]], [0, 2, 2, 3], 是, 是, one_finite_path_consuming_full_input_and_ending_final_proves_membership)
Wave6第五層核對=([a14, a14, b14], [[s14, 0], [m14, 0], [m14, 1], [m14, 2], [f14, 3]], [0, 2, 2, 3], 是, 是, one_finite_path_consuming_full_input_and_ending_final_proves_membership)；依完整明示資料獨立重算；null epsilon不消耗input、transition relation可empty或multi-valued且一條finite full-input final path即可證membership；empty final set合法且辨識空語言；bounded search failure不證rejection，epsilon cycle本身不接受。
本題逐步詳解（AI 二次覆核）
非確定有限自動機 · qf-mod42-nfa-accepting-path-witness · candidate
66. 非確定有限自動機
transition=[from,input-or-null,to]且允許empty alphabet/final set的finite epsilon-NFA。操作=nfa-accepting-path-witness；資料={"states":["s15","m15","f15","d15"],"alphabet":["a15","b15"],"start_state":"s15","final_states":["f15"],"transitions":[["s15",null,"m15"],["s15",null,"d15"],["m15","a15","m15"],["m15","b15","f15"]],"input":["a15","a15","a15","b15"],"path":[["s15",0],["m15",0],["m15",1],["m15",2],["m15",3],["f15",4]]}。請依 [input, path, transition_indices, valid_path, accepted, certificate] 欄序回答。
valid_path與accepted分開；要讀完整input才算接受。一條成功路徑已足夠，其他dead branches不會將它否決。
查看答案與解釋
([a15, a15, a15, b15], [[s15, 0], [m15, 0], [m15, 1], [m15, 2], [m15, 3], [f15, 4]], [0, 2, 2, 2, 3], 是, 是, one_finite_path_consuming_full_input_and_ending_final_proves_membership)
Wave6第五層核對=([a15, a15, a15, b15], [[s15, 0], [m15, 0], [m15, 1], [m15, 2], [m15, 3], [f15, 4]], [0, 2, 2, 2, 3], 是, 是, one_finite_path_consuming_full_input_and_ending_final_proves_membership)；依完整明示資料獨立重算；null epsilon不消耗input、transition relation可empty或multi-valued且一條finite full-input final path即可證membership；empty final set合法且辨識空語言；bounded search failure不證rejection，epsilon cycle本身不接受。
本題逐步詳解（AI 二次覆核）
非確定有限自動機 · qf-mod42-nfa-accepting-path-witness · candidate
67. 非確定有限自動機
transition=[from,input-or-null,to]且允許empty alphabet/final set的finite epsilon-NFA。操作=nfa-accepting-path-witness；資料={"states":["s16","m16","f16","d16"],"alphabet":["a16","b16"],"start_state":"s16","final_states":["f16"],"transitions":[["s16",null,"m16"],["s16",null,"d16"],["m16","a16","m16"],["m16","b16","f16"]],"input":["b16"],"path":[["s16",0],["m16",0],["f16",1]]}。請依 [input, path, transition_indices, valid_path, accepted, certificate] 欄序回答。
valid_path與accepted分開；要讀完整input才算接受。一條成功路徑已足夠，其他dead branches不會將它否決。
查看答案與解釋
([b16], [[s16, 0], [m16, 0], [f16, 1]], [0, 3], 是, 是, one_finite_path_consuming_full_input_and_ending_final_proves_membership)
Wave6第五層核對=([b16], [[s16, 0], [m16, 0], [f16, 1]], [0, 3], 是, 是, one_finite_path_consuming_full_input_and_ending_final_proves_membership)；依完整明示資料獨立重算；null epsilon不消耗input、transition relation可empty或multi-valued且一條finite full-input final path即可證membership；empty final set合法且辨識空語言；bounded search failure不證rejection，epsilon cycle本身不接受。
本題逐步詳解（AI 二次覆核）
非確定有限自動機 · qf-mod42-nfa-accepting-path-witness · candidate
68. 非確定有限自動機
transition=[from,input-or-null,to]且允許empty alphabet/final set的finite epsilon-NFA。操作=nfa-accepting-path-witness；資料={"states":["s17","m17","f17","d17"],"alphabet":["a17","b17"],"start_state":"s17","final_states":["f17"],"transitions":[["s17",null,"m17"],["s17",null,"d17"],["m17","a17","m17"],["m17","b17","f17"]],"input":["a17","b17"],"path":[["s17",0],["m17",0],["m17",1],["f17",2]]}。請依 [input, path, transition_indices, valid_path, accepted, certificate] 欄序回答。
valid_path與accepted分開；要讀完整input才算接受。一條成功路徑已足夠，其他dead branches不會將它否決。
查看答案與解釋
([a17, b17], [[s17, 0], [m17, 0], [m17, 1], [f17, 2]], [0, 2, 3], 是, 是, one_finite_path_consuming_full_input_and_ending_final_proves_membership)
Wave6第五層核對=([a17, b17], [[s17, 0], [m17, 0], [m17, 1], [f17, 2]], [0, 2, 3], 是, 是, one_finite_path_consuming_full_input_and_ending_final_proves_membership)；依完整明示資料獨立重算；null epsilon不消耗input、transition relation可empty或multi-valued且一條finite full-input final path即可證membership；empty final set合法且辨識空語言；bounded search failure不證rejection，epsilon cycle本身不接受。
本題逐步詳解（AI 二次覆核）
非確定有限自動機 · qf-mod42-nfa-accepting-path-witness · candidate
69. 非確定有限自動機
transition=[from,input-or-null,to]且允許empty alphabet/final set的finite epsilon-NFA。操作=nfa-accepting-path-witness；資料={"states":["s18","m18","f18","d18"],"alphabet":["a18","b18"],"start_state":"s18","final_states":["f18"],"transitions":[["s18",null,"m18"],["s18",null,"d18"],["m18","a18","m18"],["m18","b18","f18"]],"input":["a18","a18","b18"],"path":[["s18",0],["m18",0],["m18",1],["m18",2],["f18",3]]}。請依 [input, path, transition_indices, valid_path, accepted, certificate] 欄序回答。
valid_path與accepted分開；要讀完整input才算接受。一條成功路徑已足夠，其他dead branches不會將它否決。
查看答案與解釋
([a18, a18, b18], [[s18, 0], [m18, 0], [m18, 1], [m18, 2], [f18, 3]], [0, 2, 2, 3], 是, 是, one_finite_path_consuming_full_input_and_ending_final_proves_membership)
Wave6第五層核對=([a18, a18, b18], [[s18, 0], [m18, 0], [m18, 1], [m18, 2], [f18, 3]], [0, 2, 2, 3], 是, 是, one_finite_path_consuming_full_input_and_ending_final_proves_membership)；依完整明示資料獨立重算；null epsilon不消耗input、transition relation可empty或multi-valued且一條finite full-input final path即可證membership；empty final set合法且辨識空語言；bounded search failure不證rejection，epsilon cycle本身不接受。
本題逐步詳解（AI 二次覆核）
非確定有限自動機 · qf-mod42-nfa-accepting-path-witness · candidate
70. 非確定有限自動機
transition=[from,input-or-null,to]且允許empty alphabet/final set的finite epsilon-NFA。操作=nfa-accepting-path-witness；資料={"states":["s19","m19","f19","d19"],"alphabet":["a19","b19"],"start_state":"s19","final_states":["f19"],"transitions":[["s19",null,"m19"],["s19",null,"d19"],["m19","a19","m19"],["m19","b19","f19"]],"input":["a19","a19","a19","b19"],"path":[["s19",0],["m19",0],["m19",1],["m19",2],["m19",3],["f19",4]]}。請依 [input, path, transition_indices, valid_path, accepted, certificate] 欄序回答。
valid_path與accepted分開；要讀完整input才算接受。一條成功路徑已足夠，其他dead branches不會將它否決。
查看答案與解釋
([a19, a19, a19, b19], [[s19, 0], [m19, 0], [m19, 1], [m19, 2], [m19, 3], [f19, 4]], [0, 2, 2, 2, 3], 是, 是, one_finite_path_consuming_full_input_and_ending_final_proves_membership)
Wave6第五層核對=([a19, a19, a19, b19], [[s19, 0], [m19, 0], [m19, 1], [m19, 2], [m19, 3], [f19, 4]], [0, 2, 2, 2, 3], 是, 是, one_finite_path_consuming_full_input_and_ending_final_proves_membership)；依完整明示資料獨立重算；null epsilon不消耗input、transition relation可empty或multi-valued且一條finite full-input final path即可證membership；empty final set合法且辨識空語言；bounded search failure不證rejection，epsilon cycle本身不接受。
本題逐步詳解（AI 二次覆核）
非確定有限自動機 · qf-mod42-nfa-accepting-path-witness · candidate
71. 非確定有限自動機
transition=[from,input-or-null,to]且允許empty alphabet/final set的finite epsilon-NFA。操作=nfa-accepting-path-witness；資料={"states":["s20","m20","f20","d20"],"alphabet":["a20","b20"],"start_state":"s20","final_states":["f20"],"transitions":[["s20",null,"m20"],["s20",null,"d20"],["m20","a20","m20"],["m20","b20","f20"]],"input":["b20"],"path":[["s20",0],["m20",0],["f20",1]]}。請依 [input, path, transition_indices, valid_path, accepted, certificate] 欄序回答。
valid_path與accepted分開；要讀完整input才算接受。一條成功路徑已足夠，其他dead branches不會將它否決。
查看答案與解釋
([b20], [[s20, 0], [m20, 0], [f20, 1]], [0, 3], 是, 是, one_finite_path_consuming_full_input_and_ending_final_proves_membership)
Wave6第五層核對=([b20], [[s20, 0], [m20, 0], [f20, 1]], [0, 3], 是, 是, one_finite_path_consuming_full_input_and_ending_final_proves_membership)；依完整明示資料獨立重算；null epsilon不消耗input、transition relation可empty或multi-valued且一條finite full-input final path即可證membership；empty final set合法且辨識空語言；bounded search failure不證rejection，epsilon cycle本身不接受。
本題逐步詳解（AI 二次覆核）
非確定有限自動機 · qf-mod42-nfa-accepting-path-witness · candidate
72. 非確定有限自動機
transition=[from,input-or-null,to]且允許empty alphabet/final set的finite epsilon-NFA。操作=nfa-accepting-path-witness；資料={"states":["s21","m21","f21","d21"],"alphabet":["a21","b21"],"start_state":"s21","final_states":["f21"],"transitions":[["s21",null,"m21"],["s21",null,"d21"],["m21","a21","m21"],["m21","b21","f21"]],"input":["a21","b21"],"path":[["s21",0],["m21",0],["m21",1],["f21",2]]}。請依 [input, path, transition_indices, valid_path, accepted, certificate] 欄序回答。
valid_path與accepted分開；要讀完整input才算接受。一條成功路徑已足夠，其他dead branches不會將它否決。
查看答案與解釋
([a21, b21], [[s21, 0], [m21, 0], [m21, 1], [f21, 2]], [0, 2, 3], 是, 是, one_finite_path_consuming_full_input_and_ending_final_proves_membership)
Wave6第五層核對=([a21, b21], [[s21, 0], [m21, 0], [m21, 1], [f21, 2]], [0, 2, 3], 是, 是, one_finite_path_consuming_full_input_and_ending_final_proves_membership)；依完整明示資料獨立重算；null epsilon不消耗input、transition relation可empty或multi-valued且一條finite full-input final path即可證membership；empty final set合法且辨識空語言；bounded search failure不證rejection，epsilon cycle本身不接受。
本題逐步詳解（AI 二次覆核）
非確定有限自動機 · qf-mod42-nfa-accepting-path-witness · candidate
73. 非確定有限自動機
transition=[from,input-or-null,to]且允許empty alphabet/final set的finite epsilon-NFA。操作=nfa-accepting-path-witness；資料={"states":["s22","m22","f22","d22"],"alphabet":["a22","b22"],"start_state":"s22","final_states":["f22"],"transitions":[["s22",null,"m22"],["s22",null,"d22"],["m22","a22","m22"],["m22","b22","f22"]],"input":["a22","a22","b22"],"path":[["s22",0],["m22",0],["m22",1],["m22",2],["f22",3]]}。請依 [input, path, transition_indices, valid_path, accepted, certificate] 欄序回答。
valid_path與accepted分開；要讀完整input才算接受。一條成功路徑已足夠，其他dead branches不會將它否決。
查看答案與解釋
([a22, a22, b22], [[s22, 0], [m22, 0], [m22, 1], [m22, 2], [f22, 3]], [0, 2, 2, 3], 是, 是, one_finite_path_consuming_full_input_and_ending_final_proves_membership)
Wave6第五層核對=([a22, a22, b22], [[s22, 0], [m22, 0], [m22, 1], [m22, 2], [f22, 3]], [0, 2, 2, 3], 是, 是, one_finite_path_consuming_full_input_and_ending_final_proves_membership)；依完整明示資料獨立重算；null epsilon不消耗input、transition relation可empty或multi-valued且一條finite full-input final path即可證membership；empty final set合法且辨識空語言；bounded search failure不證rejection，epsilon cycle本身不接受。
本題逐步詳解（AI 二次覆核）
非確定有限自動機 · qf-mod42-nfa-accepting-path-witness · candidate
74. 非確定有限自動機
transition=[from,input-or-null,to]且允許empty alphabet/final set的finite epsilon-NFA。操作=nfa-accepting-path-witness；資料={"states":["s23","m23","f23","d23"],"alphabet":["a23","b23"],"start_state":"s23","final_states":["f23"],"transitions":[["s23",null,"m23"],["s23",null,"d23"],["m23","a23","m23"],["m23","b23","f23"]],"input":["a23","a23","a23","b23"],"path":[["s23",0],["m23",0],["m23",1],["m23",2],["m23",3],["f23",4]]}。請依 [input, path, transition_indices, valid_path, accepted, certificate] 欄序回答。
valid_path與accepted分開；要讀完整input才算接受。一條成功路徑已足夠，其他dead branches不會將它否決。
查看答案與解釋
([a23, a23, a23, b23], [[s23, 0], [m23, 0], [m23, 1], [m23, 2], [m23, 3], [f23, 4]], [0, 2, 2, 2, 3], 是, 是, one_finite_path_consuming_full_input_and_ending_final_proves_membership)
Wave6第五層核對=([a23, a23, a23, b23], [[s23, 0], [m23, 0], [m23, 1], [m23, 2], [m23, 3], [f23, 4]], [0, 2, 2, 2, 3], 是, 是, one_finite_path_consuming_full_input_and_ending_final_proves_membership)；依完整明示資料獨立重算；null epsilon不消耗input、transition relation可empty或multi-valued且一條finite full-input final path即可證membership；empty final set合法且辨識空語言；bounded search failure不證rejection，epsilon cycle本身不接受。
本題逐步詳解（AI 二次覆核）
非確定有限自動機 · qf-mod42-nfa-accepting-path-witness · candidate
75. 非確定有限自動機
transition=[from,input-or-null,to]且允許empty alphabet/final set的finite epsilon-NFA。操作=nfa-accepting-path-witness；資料={"states":["s24","m24","f24","d24"],"alphabet":["a24","b24"],"start_state":"s24","final_states":["f24"],"transitions":[["s24",null,"m24"],["s24",null,"d24"],["m24","a24","m24"],["m24","b24","f24"]],"input":["b24"],"path":[["s24",0],["m24",0],["f24",1]]}。請依 [input, path, transition_indices, valid_path, accepted, certificate] 欄序回答。
valid_path與accepted分開；要讀完整input才算接受。一條成功路徑已足夠，其他dead branches不會將它否決。
查看答案與解釋
([b24], [[s24, 0], [m24, 0], [f24, 1]], [0, 3], 是, 是, one_finite_path_consuming_full_input_and_ending_final_proves_membership)
Wave6第五層核對=([b24], [[s24, 0], [m24, 0], [f24, 1]], [0, 3], 是, 是, one_finite_path_consuming_full_input_and_ending_final_proves_membership)；依完整明示資料獨立重算；null epsilon不消耗input、transition relation可empty或multi-valued且一條finite full-input final path即可證membership；empty final set合法且辨識空語言；bounded search failure不證rejection，epsilon cycle本身不接受。
本題逐步詳解（AI 二次覆核）
非確定有限自動機 · qf-mod42-nfa-accepting-path-witness · candidate
76. 非確定有限自動機
transition=[from,input-or-null,to]且允許empty alphabet/final set的finite epsilon-NFA。操作=nfa-bounded-search-boundary；資料={"states":["s0","m0","f0","d0"],"alphabet":["a0","b0"],"start_state":"s0","final_states":["f0"],"transitions":[["s0",null,"m0"],["s0",null,"d0"],["m0","a0","m0"],["m0","b0","f0"]],"input":["b0"],"max_steps":1}。請依 [input, max_steps, found_accepting_path, rejection_claim, boundary] 欄序回答。
有限深度找不到不能單獨證reject；固定的否也不否定found旗標。完整有限configuration reachability可另作判定，不把epsilon cycle本身當接受。
查看答案與解釋
([b0], 1, 否, 否, bounded_search_failure_cannot_prove_rejection_and_epsilon_cycles_are_not_infinite_accepting_runs)
Wave6第五層核對=([b0], 1, 否, 否, bounded_search_failure_cannot_prove_rejection_and_epsilon_cycles_are_not_infinite_accepting_runs)；依完整明示資料獨立重算；null epsilon不消耗input、transition relation可empty或multi-valued且一條finite full-input final path即可證membership；empty final set合法且辨識空語言；bounded search failure不證rejection，epsilon cycle本身不接受。
本題逐步詳解（AI 二次覆核）
非確定有限自動機 · qf-mod42-nfa-bounded-search-boundary · candidate
77. 非確定有限自動機
transition=[from,input-or-null,to]且允許empty alphabet/final set的finite epsilon-NFA。操作=nfa-bounded-search-boundary；資料={"states":["s1","m1","f1","d1"],"alphabet":["a1","b1"],"start_state":"s1","final_states":["f1"],"transitions":[["s1",null,"m1"],["s1",null,"d1"],["m1","a1","m1"],["m1","b1","f1"]],"input":["a1","b1"],"max_steps":1}。請依 [input, max_steps, found_accepting_path, rejection_claim, boundary] 欄序回答。
有限深度找不到不能單獨證reject；固定的否也不否定found旗標。完整有限configuration reachability可另作判定，不把epsilon cycle本身當接受。
查看答案與解釋
([a1, b1], 1, 否, 否, bounded_search_failure_cannot_prove_rejection_and_epsilon_cycles_are_not_infinite_accepting_runs)
Wave6第五層核對=([a1, b1], 1, 否, 否, bounded_search_failure_cannot_prove_rejection_and_epsilon_cycles_are_not_infinite_accepting_runs)；依完整明示資料獨立重算；null epsilon不消耗input、transition relation可empty或multi-valued且一條finite full-input final path即可證membership；empty final set合法且辨識空語言；bounded search failure不證rejection，epsilon cycle本身不接受。
本題逐步詳解（AI 二次覆核）
非確定有限自動機 · qf-mod42-nfa-bounded-search-boundary · candidate
78. 非確定有限自動機
transition=[from,input-or-null,to]且允許empty alphabet/final set的finite epsilon-NFA。操作=nfa-bounded-search-boundary；資料={"states":["s2","m2","f2","d2"],"alphabet":["a2","b2"],"start_state":"s2","final_states":["f2"],"transitions":[["s2",null,"m2"],["s2",null,"d2"],["m2","a2","m2"],["m2","b2","f2"]],"input":["a2","a2","b2"],"max_steps":1}。請依 [input, max_steps, found_accepting_path, rejection_claim, boundary] 欄序回答。
有限深度找不到不能單獨證reject；固定的否也不否定found旗標。完整有限configuration reachability可另作判定，不把epsilon cycle本身當接受。
查看答案與解釋
([a2, a2, b2], 1, 否, 否, bounded_search_failure_cannot_prove_rejection_and_epsilon_cycles_are_not_infinite_accepting_runs)
Wave6第五層核對=([a2, a2, b2], 1, 否, 否, bounded_search_failure_cannot_prove_rejection_and_epsilon_cycles_are_not_infinite_accepting_runs)；依完整明示資料獨立重算；null epsilon不消耗input、transition relation可empty或multi-valued且一條finite full-input final path即可證membership；empty final set合法且辨識空語言；bounded search failure不證rejection，epsilon cycle本身不接受。
本題逐步詳解（AI 二次覆核）
非確定有限自動機 · qf-mod42-nfa-bounded-search-boundary · candidate
79. 非確定有限自動機
transition=[from,input-or-null,to]且允許empty alphabet/final set的finite epsilon-NFA。操作=nfa-bounded-search-boundary；資料={"states":["s3","m3","f3","d3"],"alphabet":["a3","b3"],"start_state":"s3","final_states":["f3"],"transitions":[["s3",null,"m3"],["s3",null,"d3"],["m3","a3","m3"],["m3","b3","f3"]],"input":["a3","a3","a3","b3"],"max_steps":1}。請依 [input, max_steps, found_accepting_path, rejection_claim, boundary] 欄序回答。
有限深度找不到不能單獨證reject；固定的否也不否定found旗標。完整有限configuration reachability可另作判定，不把epsilon cycle本身當接受。
查看答案與解釋
([a3, a3, a3, b3], 1, 否, 否, bounded_search_failure_cannot_prove_rejection_and_epsilon_cycles_are_not_infinite_accepting_runs)
Wave6第五層核對=([a3, a3, a3, b3], 1, 否, 否, bounded_search_failure_cannot_prove_rejection_and_epsilon_cycles_are_not_infinite_accepting_runs)；依完整明示資料獨立重算；null epsilon不消耗input、transition relation可empty或multi-valued且一條finite full-input final path即可證membership；empty final set合法且辨識空語言；bounded search failure不證rejection，epsilon cycle本身不接受。
本題逐步詳解（AI 二次覆核）
非確定有限自動機 · qf-mod42-nfa-bounded-search-boundary · candidate
80. 非確定有限自動機
transition=[from,input-or-null,to]且允許empty alphabet/final set的finite epsilon-NFA。操作=nfa-bounded-search-boundary；資料={"states":["s4","m4","f4","d4"],"alphabet":["a4","b4"],"start_state":"s4","final_states":["f4"],"transitions":[["s4",null,"m4"],["s4",null,"d4"],["m4","a4","m4"],["m4","b4","f4"]],"input":["b4"],"max_steps":1}。請依 [input, max_steps, found_accepting_path, rejection_claim, boundary] 欄序回答。
有限深度找不到不能單獨證reject；固定的否也不否定found旗標。完整有限configuration reachability可另作判定，不把epsilon cycle本身當接受。
查看答案與解釋
([b4], 1, 否, 否, bounded_search_failure_cannot_prove_rejection_and_epsilon_cycles_are_not_infinite_accepting_runs)
Wave6第五層核對=([b4], 1, 否, 否, bounded_search_failure_cannot_prove_rejection_and_epsilon_cycles_are_not_infinite_accepting_runs)；依完整明示資料獨立重算；null epsilon不消耗input、transition relation可empty或multi-valued且一條finite full-input final path即可證membership；empty final set合法且辨識空語言；bounded search failure不證rejection，epsilon cycle本身不接受。
本題逐步詳解（AI 二次覆核）
非確定有限自動機 · qf-mod42-nfa-bounded-search-boundary · candidate
81. 非確定有限自動機
transition=[from,input-or-null,to]且允許empty alphabet/final set的finite epsilon-NFA。操作=nfa-bounded-search-boundary；資料={"states":["s5","m5","f5","d5"],"alphabet":["a5","b5"],"start_state":"s5","final_states":["f5"],"transitions":[["s5",null,"m5"],["s5",null,"d5"],["m5","a5","m5"],["m5","b5","f5"]],"input":["a5","b5"],"max_steps":1}。請依 [input, max_steps, found_accepting_path, rejection_claim, boundary] 欄序回答。
有限深度找不到不能單獨證reject；固定的否也不否定found旗標。完整有限configuration reachability可另作判定，不把epsilon cycle本身當接受。
查看答案與解釋
([a5, b5], 1, 否, 否, bounded_search_failure_cannot_prove_rejection_and_epsilon_cycles_are_not_infinite_accepting_runs)
Wave6第五層核對=([a5, b5], 1, 否, 否, bounded_search_failure_cannot_prove_rejection_and_epsilon_cycles_are_not_infinite_accepting_runs)；依完整明示資料獨立重算；null epsilon不消耗input、transition relation可empty或multi-valued且一條finite full-input final path即可證membership；empty final set合法且辨識空語言；bounded search failure不證rejection，epsilon cycle本身不接受。
本題逐步詳解（AI 二次覆核）
非確定有限自動機 · qf-mod42-nfa-bounded-search-boundary · candidate
82. 非確定有限自動機
transition=[from,input-or-null,to]且允許empty alphabet/final set的finite epsilon-NFA。操作=nfa-bounded-search-boundary；資料={"states":["s6","m6","f6","d6"],"alphabet":["a6","b6"],"start_state":"s6","final_states":["f6"],"transitions":[["s6",null,"m6"],["s6",null,"d6"],["m6","a6","m6"],["m6","b6","f6"]],"input":["a6","a6","b6"],"max_steps":1}。請依 [input, max_steps, found_accepting_path, rejection_claim, boundary] 欄序回答。
有限深度找不到不能單獨證reject；固定的否也不否定found旗標。完整有限configuration reachability可另作判定，不把epsilon cycle本身當接受。
查看答案與解釋
([a6, a6, b6], 1, 否, 否, bounded_search_failure_cannot_prove_rejection_and_epsilon_cycles_are_not_infinite_accepting_runs)
Wave6第五層核對=([a6, a6, b6], 1, 否, 否, bounded_search_failure_cannot_prove_rejection_and_epsilon_cycles_are_not_infinite_accepting_runs)；依完整明示資料獨立重算；null epsilon不消耗input、transition relation可empty或multi-valued且一條finite full-input final path即可證membership；empty final set合法且辨識空語言；bounded search failure不證rejection，epsilon cycle本身不接受。
本題逐步詳解（AI 二次覆核）
非確定有限自動機 · qf-mod42-nfa-bounded-search-boundary · candidate
83. 非確定有限自動機
transition=[from,input-or-null,to]且允許empty alphabet/final set的finite epsilon-NFA。操作=nfa-bounded-search-boundary；資料={"states":["s7","m7","f7","d7"],"alphabet":["a7","b7"],"start_state":"s7","final_states":["f7"],"transitions":[["s7",null,"m7"],["s7",null,"d7"],["m7","a7","m7"],["m7","b7","f7"]],"input":["a7","a7","a7","b7"],"max_steps":1}。請依 [input, max_steps, found_accepting_path, rejection_claim, boundary] 欄序回答。
有限深度找不到不能單獨證reject；固定的否也不否定found旗標。完整有限configuration reachability可另作判定，不把epsilon cycle本身當接受。
查看答案與解釋
([a7, a7, a7, b7], 1, 否, 否, bounded_search_failure_cannot_prove_rejection_and_epsilon_cycles_are_not_infinite_accepting_runs)
Wave6第五層核對=([a7, a7, a7, b7], 1, 否, 否, bounded_search_failure_cannot_prove_rejection_and_epsilon_cycles_are_not_infinite_accepting_runs)；依完整明示資料獨立重算；null epsilon不消耗input、transition relation可empty或multi-valued且一條finite full-input final path即可證membership；empty final set合法且辨識空語言；bounded search failure不證rejection，epsilon cycle本身不接受。
本題逐步詳解（AI 二次覆核）
非確定有限自動機 · qf-mod42-nfa-bounded-search-boundary · candidate
84. 非確定有限自動機
transition=[from,input-or-null,to]且允許empty alphabet/final set的finite epsilon-NFA。操作=nfa-bounded-search-boundary；資料={"states":["s8","m8","f8","d8"],"alphabet":["a8","b8"],"start_state":"s8","final_states":["f8"],"transitions":[["s8",null,"m8"],["s8",null,"d8"],["m8","a8","m8"],["m8","b8","f8"]],"input":["b8"],"max_steps":1}。請依 [input, max_steps, found_accepting_path, rejection_claim, boundary] 欄序回答。
有限深度找不到不能單獨證reject；固定的否也不否定found旗標。完整有限configuration reachability可另作判定，不把epsilon cycle本身當接受。
查看答案與解釋
([b8], 1, 否, 否, bounded_search_failure_cannot_prove_rejection_and_epsilon_cycles_are_not_infinite_accepting_runs)
Wave6第五層核對=([b8], 1, 否, 否, bounded_search_failure_cannot_prove_rejection_and_epsilon_cycles_are_not_infinite_accepting_runs)；依完整明示資料獨立重算；null epsilon不消耗input、transition relation可empty或multi-valued且一條finite full-input final path即可證membership；empty final set合法且辨識空語言；bounded search failure不證rejection，epsilon cycle本身不接受。
本題逐步詳解（AI 二次覆核）
非確定有限自動機 · qf-mod42-nfa-bounded-search-boundary · candidate
85. 非確定有限自動機
transition=[from,input-or-null,to]且允許empty alphabet/final set的finite epsilon-NFA。操作=nfa-bounded-search-boundary；資料={"states":["s9","m9","f9","d9"],"alphabet":["a9","b9"],"start_state":"s9","final_states":["f9"],"transitions":[["s9",null,"m9"],["s9",null,"d9"],["m9","a9","m9"],["m9","b9","f9"]],"input":["a9","b9"],"max_steps":1}。請依 [input, max_steps, found_accepting_path, rejection_claim, boundary] 欄序回答。
有限深度找不到不能單獨證reject；固定的否也不否定found旗標。完整有限configuration reachability可另作判定，不把epsilon cycle本身當接受。
查看答案與解釋
([a9, b9], 1, 否, 否, bounded_search_failure_cannot_prove_rejection_and_epsilon_cycles_are_not_infinite_accepting_runs)
Wave6第五層核對=([a9, b9], 1, 否, 否, bounded_search_failure_cannot_prove_rejection_and_epsilon_cycles_are_not_infinite_accepting_runs)；依完整明示資料獨立重算；null epsilon不消耗input、transition relation可empty或multi-valued且一條finite full-input final path即可證membership；empty final set合法且辨識空語言；bounded search failure不證rejection，epsilon cycle本身不接受。
本題逐步詳解（AI 二次覆核）
非確定有限自動機 · qf-mod42-nfa-bounded-search-boundary · candidate
86. 非確定有限自動機
transition=[from,input-or-null,to]且允許empty alphabet/final set的finite epsilon-NFA。操作=nfa-bounded-search-boundary；資料={"states":["s10","m10","f10","d10"],"alphabet":["a10","b10"],"start_state":"s10","final_states":["f10"],"transitions":[["s10",null,"m10"],["s10",null,"d10"],["m10","a10","m10"],["m10","b10","f10"]],"input":["a10","a10","b10"],"max_steps":1}。請依 [input, max_steps, found_accepting_path, rejection_claim, boundary] 欄序回答。
有限深度找不到不能單獨證reject；固定的否也不否定found旗標。完整有限configuration reachability可另作判定，不把epsilon cycle本身當接受。
查看答案與解釋
([a10, a10, b10], 1, 否, 否, bounded_search_failure_cannot_prove_rejection_and_epsilon_cycles_are_not_infinite_accepting_runs)
Wave6第五層核對=([a10, a10, b10], 1, 否, 否, bounded_search_failure_cannot_prove_rejection_and_epsilon_cycles_are_not_infinite_accepting_runs)；依完整明示資料獨立重算；null epsilon不消耗input、transition relation可empty或multi-valued且一條finite full-input final path即可證membership；empty final set合法且辨識空語言；bounded search failure不證rejection，epsilon cycle本身不接受。
本題逐步詳解（AI 二次覆核）
非確定有限自動機 · qf-mod42-nfa-bounded-search-boundary · candidate
87. 非確定有限自動機
transition=[from,input-or-null,to]且允許empty alphabet/final set的finite epsilon-NFA。操作=nfa-bounded-search-boundary；資料={"states":["s11","m11","f11","d11"],"alphabet":["a11","b11"],"start_state":"s11","final_states":["f11"],"transitions":[["s11",null,"m11"],["s11",null,"d11"],["m11","a11","m11"],["m11","b11","f11"]],"input":["a11","a11","a11","b11"],"max_steps":1}。請依 [input, max_steps, found_accepting_path, rejection_claim, boundary] 欄序回答。
有限深度找不到不能單獨證reject；固定的否也不否定found旗標。完整有限configuration reachability可另作判定，不把epsilon cycle本身當接受。
查看答案與解釋
([a11, a11, a11, b11], 1, 否, 否, bounded_search_failure_cannot_prove_rejection_and_epsilon_cycles_are_not_infinite_accepting_runs)
Wave6第五層核對=([a11, a11, a11, b11], 1, 否, 否, bounded_search_failure_cannot_prove_rejection_and_epsilon_cycles_are_not_infinite_accepting_runs)；依完整明示資料獨立重算；null epsilon不消耗input、transition relation可empty或multi-valued且一條finite full-input final path即可證membership；empty final set合法且辨識空語言；bounded search failure不證rejection，epsilon cycle本身不接受。
本題逐步詳解（AI 二次覆核）
非確定有限自動機 · qf-mod42-nfa-bounded-search-boundary · candidate
88. 非確定有限自動機
transition=[from,input-or-null,to]且允許empty alphabet/final set的finite epsilon-NFA。操作=nfa-bounded-search-boundary；資料={"states":["s12","m12","f12","d12"],"alphabet":["a12","b12"],"start_state":"s12","final_states":["f12"],"transitions":[["s12",null,"m12"],["s12",null,"d12"],["m12","a12","m12"],["m12","b12","f12"]],"input":["b12"],"max_steps":1}。請依 [input, max_steps, found_accepting_path, rejection_claim, boundary] 欄序回答。
有限深度找不到不能單獨證reject；固定的否也不否定found旗標。完整有限configuration reachability可另作判定，不把epsilon cycle本身當接受。
查看答案與解釋
([b12], 1, 否, 否, bounded_search_failure_cannot_prove_rejection_and_epsilon_cycles_are_not_infinite_accepting_runs)
Wave6第五層核對=([b12], 1, 否, 否, bounded_search_failure_cannot_prove_rejection_and_epsilon_cycles_are_not_infinite_accepting_runs)；依完整明示資料獨立重算；null epsilon不消耗input、transition relation可empty或multi-valued且一條finite full-input final path即可證membership；empty final set合法且辨識空語言；bounded search failure不證rejection，epsilon cycle本身不接受。
本題逐步詳解（AI 二次覆核）
非確定有限自動機 · qf-mod42-nfa-bounded-search-boundary · candidate
89. 非確定有限自動機
transition=[from,input-or-null,to]且允許empty alphabet/final set的finite epsilon-NFA。操作=nfa-bounded-search-boundary；資料={"states":["s13","m13","f13","d13"],"alphabet":["a13","b13"],"start_state":"s13","final_states":["f13"],"transitions":[["s13",null,"m13"],["s13",null,"d13"],["m13","a13","m13"],["m13","b13","f13"]],"input":["a13","b13"],"max_steps":1}。請依 [input, max_steps, found_accepting_path, rejection_claim, boundary] 欄序回答。
有限深度找不到不能單獨證reject；固定的否也不否定found旗標。完整有限configuration reachability可另作判定，不把epsilon cycle本身當接受。
查看答案與解釋
([a13, b13], 1, 否, 否, bounded_search_failure_cannot_prove_rejection_and_epsilon_cycles_are_not_infinite_accepting_runs)
Wave6第五層核對=([a13, b13], 1, 否, 否, bounded_search_failure_cannot_prove_rejection_and_epsilon_cycles_are_not_infinite_accepting_runs)；依完整明示資料獨立重算；null epsilon不消耗input、transition relation可empty或multi-valued且一條finite full-input final path即可證membership；empty final set合法且辨識空語言；bounded search failure不證rejection，epsilon cycle本身不接受。
本題逐步詳解（AI 二次覆核）
非確定有限自動機 · qf-mod42-nfa-bounded-search-boundary · candidate
90. 非確定有限自動機
transition=[from,input-or-null,to]且允許empty alphabet/final set的finite epsilon-NFA。操作=nfa-bounded-search-boundary；資料={"states":["s14","m14","f14","d14"],"alphabet":["a14","b14"],"start_state":"s14","final_states":["f14"],"transitions":[["s14",null,"m14"],["s14",null,"d14"],["m14","a14","m14"],["m14","b14","f14"]],"input":["a14","a14","b14"],"max_steps":1}。請依 [input, max_steps, found_accepting_path, rejection_claim, boundary] 欄序回答。
有限深度找不到不能單獨證reject；固定的否也不否定found旗標。完整有限configuration reachability可另作判定，不把epsilon cycle本身當接受。
查看答案與解釋
([a14, a14, b14], 1, 否, 否, bounded_search_failure_cannot_prove_rejection_and_epsilon_cycles_are_not_infinite_accepting_runs)
Wave6第五層核對=([a14, a14, b14], 1, 否, 否, bounded_search_failure_cannot_prove_rejection_and_epsilon_cycles_are_not_infinite_accepting_runs)；依完整明示資料獨立重算；null epsilon不消耗input、transition relation可empty或multi-valued且一條finite full-input final path即可證membership；empty final set合法且辨識空語言；bounded search failure不證rejection，epsilon cycle本身不接受。
本題逐步詳解（AI 二次覆核）
非確定有限自動機 · qf-mod42-nfa-bounded-search-boundary · candidate
91. 非確定有限自動機
transition=[from,input-or-null,to]且允許empty alphabet/final set的finite epsilon-NFA。操作=nfa-bounded-search-boundary；資料={"states":["s15","m15","f15","d15"],"alphabet":["a15","b15"],"start_state":"s15","final_states":["f15"],"transitions":[["s15",null,"m15"],["s15",null,"d15"],["m15","a15","m15"],["m15","b15","f15"]],"input":["a15","a15","a15","b15"],"max_steps":1}。請依 [input, max_steps, found_accepting_path, rejection_claim, boundary] 欄序回答。
有限深度找不到不能單獨證reject；固定的否也不否定found旗標。完整有限configuration reachability可另作判定，不把epsilon cycle本身當接受。
查看答案與解釋
([a15, a15, a15, b15], 1, 否, 否, bounded_search_failure_cannot_prove_rejection_and_epsilon_cycles_are_not_infinite_accepting_runs)
Wave6第五層核對=([a15, a15, a15, b15], 1, 否, 否, bounded_search_failure_cannot_prove_rejection_and_epsilon_cycles_are_not_infinite_accepting_runs)；依完整明示資料獨立重算；null epsilon不消耗input、transition relation可empty或multi-valued且一條finite full-input final path即可證membership；empty final set合法且辨識空語言；bounded search failure不證rejection，epsilon cycle本身不接受。
本題逐步詳解（AI 二次覆核）
非確定有限自動機 · qf-mod42-nfa-bounded-search-boundary · candidate
92. 非確定有限自動機
transition=[from,input-or-null,to]且允許empty alphabet/final set的finite epsilon-NFA。操作=nfa-bounded-search-boundary；資料={"states":["s16","m16","f16","d16"],"alphabet":["a16","b16"],"start_state":"s16","final_states":["f16"],"transitions":[["s16",null,"m16"],["s16",null,"d16"],["m16","a16","m16"],["m16","b16","f16"]],"input":["b16"],"max_steps":1}。請依 [input, max_steps, found_accepting_path, rejection_claim, boundary] 欄序回答。
有限深度找不到不能單獨證reject；固定的否也不否定found旗標。完整有限configuration reachability可另作判定，不把epsilon cycle本身當接受。
查看答案與解釋
([b16], 1, 否, 否, bounded_search_failure_cannot_prove_rejection_and_epsilon_cycles_are_not_infinite_accepting_runs)
Wave6第五層核對=([b16], 1, 否, 否, bounded_search_failure_cannot_prove_rejection_and_epsilon_cycles_are_not_infinite_accepting_runs)；依完整明示資料獨立重算；null epsilon不消耗input、transition relation可empty或multi-valued且一條finite full-input final path即可證membership；empty final set合法且辨識空語言；bounded search failure不證rejection，epsilon cycle本身不接受。
本題逐步詳解（AI 二次覆核）
非確定有限自動機 · qf-mod42-nfa-bounded-search-boundary · candidate
93. 非確定有限自動機
transition=[from,input-or-null,to]且允許empty alphabet/final set的finite epsilon-NFA。操作=nfa-bounded-search-boundary；資料={"states":["s17","m17","f17","d17"],"alphabet":["a17","b17"],"start_state":"s17","final_states":["f17"],"transitions":[["s17",null,"m17"],["s17",null,"d17"],["m17","a17","m17"],["m17","b17","f17"]],"input":["a17","b17"],"max_steps":1}。請依 [input, max_steps, found_accepting_path, rejection_claim, boundary] 欄序回答。
有限深度找不到不能單獨證reject；固定的否也不否定found旗標。完整有限configuration reachability可另作判定，不把epsilon cycle本身當接受。
查看答案與解釋
([a17, b17], 1, 否, 否, bounded_search_failure_cannot_prove_rejection_and_epsilon_cycles_are_not_infinite_accepting_runs)
Wave6第五層核對=([a17, b17], 1, 否, 否, bounded_search_failure_cannot_prove_rejection_and_epsilon_cycles_are_not_infinite_accepting_runs)；依完整明示資料獨立重算；null epsilon不消耗input、transition relation可empty或multi-valued且一條finite full-input final path即可證membership；empty final set合法且辨識空語言；bounded search failure不證rejection，epsilon cycle本身不接受。
本題逐步詳解（AI 二次覆核）
非確定有限自動機 · qf-mod42-nfa-bounded-search-boundary · candidate
94. 非確定有限自動機
transition=[from,input-or-null,to]且允許empty alphabet/final set的finite epsilon-NFA。操作=nfa-bounded-search-boundary；資料={"states":["s18","m18","f18","d18"],"alphabet":["a18","b18"],"start_state":"s18","final_states":["f18"],"transitions":[["s18",null,"m18"],["s18",null,"d18"],["m18","a18","m18"],["m18","b18","f18"]],"input":["a18","a18","b18"],"max_steps":1}。請依 [input, max_steps, found_accepting_path, rejection_claim, boundary] 欄序回答。
有限深度找不到不能單獨證reject；固定的否也不否定found旗標。完整有限configuration reachability可另作判定，不把epsilon cycle本身當接受。
查看答案與解釋
([a18, a18, b18], 1, 否, 否, bounded_search_failure_cannot_prove_rejection_and_epsilon_cycles_are_not_infinite_accepting_runs)
Wave6第五層核對=([a18, a18, b18], 1, 否, 否, bounded_search_failure_cannot_prove_rejection_and_epsilon_cycles_are_not_infinite_accepting_runs)；依完整明示資料獨立重算；null epsilon不消耗input、transition relation可empty或multi-valued且一條finite full-input final path即可證membership；empty final set合法且辨識空語言；bounded search failure不證rejection，epsilon cycle本身不接受。
本題逐步詳解（AI 二次覆核）
非確定有限自動機 · qf-mod42-nfa-bounded-search-boundary · candidate
95. 非確定有限自動機
transition=[from,input-or-null,to]且允許empty alphabet/final set的finite epsilon-NFA。操作=nfa-bounded-search-boundary；資料={"states":["s19","m19","f19","d19"],"alphabet":["a19","b19"],"start_state":"s19","final_states":["f19"],"transitions":[["s19",null,"m19"],["s19",null,"d19"],["m19","a19","m19"],["m19","b19","f19"]],"input":["a19","a19","a19","b19"],"max_steps":1}。請依 [input, max_steps, found_accepting_path, rejection_claim, boundary] 欄序回答。
有限深度找不到不能單獨證reject；固定的否也不否定found旗標。完整有限configuration reachability可另作判定，不把epsilon cycle本身當接受。
查看答案與解釋
([a19, a19, a19, b19], 1, 否, 否, bounded_search_failure_cannot_prove_rejection_and_epsilon_cycles_are_not_infinite_accepting_runs)
Wave6第五層核對=([a19, a19, a19, b19], 1, 否, 否, bounded_search_failure_cannot_prove_rejection_and_epsilon_cycles_are_not_infinite_accepting_runs)；依完整明示資料獨立重算；null epsilon不消耗input、transition relation可empty或multi-valued且一條finite full-input final path即可證membership；empty final set合法且辨識空語言；bounded search failure不證rejection，epsilon cycle本身不接受。
本題逐步詳解（AI 二次覆核）
非確定有限自動機 · qf-mod42-nfa-bounded-search-boundary · candidate
96. 非確定有限自動機
transition=[from,input-or-null,to]且允許empty alphabet/final set的finite epsilon-NFA。操作=nfa-bounded-search-boundary；資料={"states":["s20","m20","f20","d20"],"alphabet":["a20","b20"],"start_state":"s20","final_states":["f20"],"transitions":[["s20",null,"m20"],["s20",null,"d20"],["m20","a20","m20"],["m20","b20","f20"]],"input":["b20"],"max_steps":1}。請依 [input, max_steps, found_accepting_path, rejection_claim, boundary] 欄序回答。
有限深度找不到不能單獨證reject；固定的否也不否定found旗標。完整有限configuration reachability可另作判定，不把epsilon cycle本身當接受。
查看答案與解釋
([b20], 1, 否, 否, bounded_search_failure_cannot_prove_rejection_and_epsilon_cycles_are_not_infinite_accepting_runs)
Wave6第五層核對=([b20], 1, 否, 否, bounded_search_failure_cannot_prove_rejection_and_epsilon_cycles_are_not_infinite_accepting_runs)；依完整明示資料獨立重算；null epsilon不消耗input、transition relation可empty或multi-valued且一條finite full-input final path即可證membership；empty final set合法且辨識空語言；bounded search failure不證rejection，epsilon cycle本身不接受。
本題逐步詳解（AI 二次覆核）
非確定有限自動機 · qf-mod42-nfa-bounded-search-boundary · candidate
97. 非確定有限自動機
transition=[from,input-or-null,to]且允許empty alphabet/final set的finite epsilon-NFA。操作=nfa-bounded-search-boundary；資料={"states":["s21","m21","f21","d21"],"alphabet":["a21","b21"],"start_state":"s21","final_states":["f21"],"transitions":[["s21",null,"m21"],["s21",null,"d21"],["m21","a21","m21"],["m21","b21","f21"]],"input":["a21","b21"],"max_steps":1}。請依 [input, max_steps, found_accepting_path, rejection_claim, boundary] 欄序回答。
有限深度找不到不能單獨證reject；固定的否也不否定found旗標。完整有限configuration reachability可另作判定，不把epsilon cycle本身當接受。
查看答案與解釋
([a21, b21], 1, 否, 否, bounded_search_failure_cannot_prove_rejection_and_epsilon_cycles_are_not_infinite_accepting_runs)
Wave6第五層核對=([a21, b21], 1, 否, 否, bounded_search_failure_cannot_prove_rejection_and_epsilon_cycles_are_not_infinite_accepting_runs)；依完整明示資料獨立重算；null epsilon不消耗input、transition relation可empty或multi-valued且一條finite full-input final path即可證membership；empty final set合法且辨識空語言；bounded search failure不證rejection，epsilon cycle本身不接受。
本題逐步詳解（AI 二次覆核）
非確定有限自動機 · qf-mod42-nfa-bounded-search-boundary · candidate
98. 非確定有限自動機
transition=[from,input-or-null,to]且允許empty alphabet/final set的finite epsilon-NFA。操作=nfa-bounded-search-boundary；資料={"states":["s22","m22","f22","d22"],"alphabet":["a22","b22"],"start_state":"s22","final_states":["f22"],"transitions":[["s22",null,"m22"],["s22",null,"d22"],["m22","a22","m22"],["m22","b22","f22"]],"input":["a22","a22","b22"],"max_steps":1}。請依 [input, max_steps, found_accepting_path, rejection_claim, boundary] 欄序回答。
有限深度找不到不能單獨證reject；固定的否也不否定found旗標。完整有限configuration reachability可另作判定，不把epsilon cycle本身當接受。
查看答案與解釋
([a22, a22, b22], 1, 否, 否, bounded_search_failure_cannot_prove_rejection_and_epsilon_cycles_are_not_infinite_accepting_runs)
Wave6第五層核對=([a22, a22, b22], 1, 否, 否, bounded_search_failure_cannot_prove_rejection_and_epsilon_cycles_are_not_infinite_accepting_runs)；依完整明示資料獨立重算；null epsilon不消耗input、transition relation可empty或multi-valued且一條finite full-input final path即可證membership；empty final set合法且辨識空語言；bounded search failure不證rejection，epsilon cycle本身不接受。
本題逐步詳解（AI 二次覆核）
非確定有限自動機 · qf-mod42-nfa-bounded-search-boundary · candidate
99. 非確定有限自動機
transition=[from,input-or-null,to]且允許empty alphabet/final set的finite epsilon-NFA。操作=nfa-bounded-search-boundary；資料={"states":["s23","m23","f23","d23"],"alphabet":["a23","b23"],"start_state":"s23","final_states":["f23"],"transitions":[["s23",null,"m23"],["s23",null,"d23"],["m23","a23","m23"],["m23","b23","f23"]],"input":["a23","a23","a23","b23"],"max_steps":1}。請依 [input, max_steps, found_accepting_path, rejection_claim, boundary] 欄序回答。
有限深度找不到不能單獨證reject；固定的否也不否定found旗標。完整有限configuration reachability可另作判定，不把epsilon cycle本身當接受。
查看答案與解釋
([a23, a23, a23, b23], 1, 否, 否, bounded_search_failure_cannot_prove_rejection_and_epsilon_cycles_are_not_infinite_accepting_runs)
Wave6第五層核對=([a23, a23, a23, b23], 1, 否, 否, bounded_search_failure_cannot_prove_rejection_and_epsilon_cycles_are_not_infinite_accepting_runs)；依完整明示資料獨立重算；null epsilon不消耗input、transition relation可empty或multi-valued且一條finite full-input final path即可證membership；empty final set合法且辨識空語言；bounded search failure不證rejection，epsilon cycle本身不接受。
本題逐步詳解（AI 二次覆核）
非確定有限自動機 · qf-mod42-nfa-bounded-search-boundary · candidate
100. 非確定有限自動機
transition=[from,input-or-null,to]且允許empty alphabet/final set的finite epsilon-NFA。操作=nfa-bounded-search-boundary；資料={"states":["s24","m24","f24","d24"],"alphabet":["a24","b24"],"start_state":"s24","final_states":["f24"],"transitions":[["s24",null,"m24"],["s24",null,"d24"],["m24","a24","m24"],["m24","b24","f24"]],"input":["b24"],"max_steps":1}。請依 [input, max_steps, found_accepting_path, rejection_claim, boundary] 欄序回答。
有限深度找不到不能單獨證reject；固定的否也不否定found旗標。完整有限configuration reachability可另作判定，不把epsilon cycle本身當接受。
查看答案與解釋
([b24], 1, 否, 否, bounded_search_failure_cannot_prove_rejection_and_epsilon_cycles_are_not_infinite_accepting_runs)
Wave6第五層核對=([b24], 1, 否, 否, bounded_search_failure_cannot_prove_rejection_and_epsilon_cycles_are_not_infinite_accepting_runs)；依完整明示資料獨立重算；null epsilon不消耗input、transition relation可empty或multi-valued且一條finite full-input final path即可證membership；empty final set合法且辨識空語言；bounded search failure不證rejection，epsilon cycle本身不接受。
本題逐步詳解（AI 二次覆核）
非確定有限自動機 · qf-mod42-nfa-bounded-search-boundary · candidate
原始題目 JSONL · 驗收報告